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Finding the Fourth Proportional to 138,927.92, 191,720.72 and 75,265.71

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Solution

The fourth proportional to 138,927.92, 191,720.72 and 75,265.71 is: 103,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,927.92 : 191,720.72 = 75,265.71 : x
  2. Step 2: Convert to fraction form
    138,927.92/191,720.72 = 75,265.71/x
  3. Step 3: Cross multiply
    138,927.92x = 191,720.72 × 75,265.71
  4. Step 4: Simplify right side
    138,927.92x = 14,429,996,878.51
  5. Step 5: Solve for x
    x = 14,429,996,878.51/138,927.92
  6. Step 6: Final answer
    x = 103,866.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.