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Finding the Fourth Proportional to 201,469.70, 302,204.55 and 61,210.10

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Solution

The fourth proportional to 201,469.70, 302,204.55 and 61,210.10 is: 91,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469.70 : 302,204.55 = 61,210.10 : x
  2. Step 2: Convert to fraction form
    201,469.70/302,204.55 = 61,210.10/x
  3. Step 3: Cross multiply
    201,469.70x = 302,204.55 × 61,210.10
  4. Step 4: Simplify right side
    201,469.70x = 18,497,970,725.96
  5. Step 5: Solve for x
    x = 18,497,970,725.96/201,469.70
  6. Step 6: Final answer
    x = 91,815.15

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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.