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Finding the Fourth Proportional to 123,655.14, 185,496.31 and 39,395.70

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Solution

The fourth proportional to 123,655.14, 185,496.31 and 39,395.70 is: 59,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,655.14 : 185,496.31 = 39,395.70 : x
  2. Step 2: Convert to fraction form
    123,655.14/185,496.31 = 39,395.70/x
  3. Step 3: Cross multiply
    123,655.14x = 185,496.31 × 39,395.70
  4. Step 4: Simplify right side
    123,655.14x = 7,307,756,979.87
  5. Step 5: Solve for x
    x = 7,307,756,979.87/123,655.14
  6. Step 6: Final answer
    x = 59,097.88

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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.