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Finding the Fourth Proportional to 133,729.71, 200,772.73 and 77,610.10

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Solution

The fourth proportional to 133,729.71, 200,772.73 and 77,610.10 is: 116,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729.71 : 200,772.73 = 77,610.10 : x
  2. Step 2: Convert to fraction form
    133,729.71/200,772.73 = 77,610.10/x
  3. Step 3: Cross multiply
    133,729.71x = 200,772.73 × 77,610.10
  4. Step 4: Simplify right side
    133,729.71x = 15,581,991,652.57
  5. Step 5: Solve for x
    x = 15,581,991,652.57/133,729.71
  6. Step 6: Final answer
    x = 116,518.55

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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.