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Finding the Fourth Proportional to 201,302,045.70, 301,953,068.55 and 120,481,412.10

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Solution

The fourth proportional to 201,302,045.70, 301,953,068.55 and 120,481,412.10 is: 180,722,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,302,045.70 : 301,953,068.55 = 120,481,412.10 : x
  2. Step 2: Convert to fraction form
    201,302,045.70/301,953,068.55 = 120,481,412.10/x
  3. Step 3: Cross multiply
    201,302,045.70x = 301,953,068.55 × 120,481,412.10
  4. Step 4: Simplify right side
    201,302,045.70x = 36,379,732,086,832,096
  5. Step 5: Solve for x
    x = 36,379,732,086,832,096/201,302,045.70
  6. Step 6: Final answer
    x = 180,722,118.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.