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Finding the Fourth Proportional to 138,920.52, 191,710.08 and 75,259.92

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Solution

The fourth proportional to 138,920.52, 191,710.08 and 75,259.92 is: 103,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920.52 : 191,710.08 = 75,259.92 : x
  2. Step 2: Convert to fraction form
    138,920.52/191,710.08 = 75,259.92/x
  3. Step 3: Cross multiply
    138,920.52x = 191,710.08 × 75,259.92
  4. Step 4: Simplify right side
    138,920.52x = 14,428,085,283.99
  5. Step 5: Solve for x
    x = 14,428,085,283.99/138,920.52
  6. Step 6: Final answer
    x = 103,858.56

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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.