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Finding the Fourth Proportional to 124,681.68, 187,022.52 and 31,187.43

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Solution

The fourth proportional to 124,681.68, 187,022.52 and 31,187.43 is: 46,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,681.68 : 187,022.52 = 31,187.43 : x
  2. Step 2: Convert to fraction form
    124,681.68/187,022.52 = 31,187.43/x
  3. Step 3: Cross multiply
    124,681.68x = 187,022.52 × 31,187.43
  4. Step 4: Simplify right side
    124,681.68x = 5,832,751,750.92
  5. Step 5: Solve for x
    x = 5,832,751,750.92/124,681.68
  6. Step 6: Final answer
    x = 46,781.15

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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.