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Finding the Fourth Proportional to 123,428.78, 185,105.28 and 52,350.14

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Solution

The fourth proportional to 123,428.78, 185,105.28 and 52,350.14 is: 78,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428.78 : 185,105.28 = 52,350.14 : x
  2. Step 2: Convert to fraction form
    123,428.78/185,105.28 = 52,350.14/x
  3. Step 3: Cross multiply
    123,428.78x = 185,105.28 × 52,350.14
  4. Step 4: Simplify right side
    123,428.78x = 9,690,287,322.74
  5. Step 5: Solve for x
    x = 9,690,287,322.74/123,428.78
  6. Step 6: Final answer
    x = 78,509.14

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1.5x scale

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.