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Finding the Fourth Proportional to 201,905.60, 302,901.60 and 61,678.40

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Solution

The fourth proportional to 201,905.60, 302,901.60 and 61,678.40 is: 92,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905.60 : 302,901.60 = 61,678.40 : x
  2. Step 2: Convert to fraction form
    201,905.60/302,901.60 = 61,678.40/x
  3. Step 3: Cross multiply
    201,905.60x = 302,901.60 × 61,678.40
  4. Step 4: Simplify right side
    201,905.60x = 18,682,486,045.44
  5. Step 5: Solve for x
    x = 18,682,486,045.44/201,905.60
  6. Step 6: Final answer
    x = 92,530.80

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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.