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Finding the Fourth Proportional to 138,503.86, 191,224.28 and 86,891.72

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Solution

The fourth proportional to 138,503.86, 191,224.28 and 86,891.72 is: 119,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,503.86 : 191,224.28 = 86,891.72 : x
  2. Step 2: Convert to fraction form
    138,503.86/191,224.28 = 86,891.72/x
  3. Step 3: Cross multiply
    138,503.86x = 191,224.28 × 86,891.72
  4. Step 4: Simplify right side
    138,503.86x = 16,615,805,856.07
  5. Step 5: Solve for x
    x = 16,615,805,856.07/138,503.86
  6. Step 6: Final answer
    x = 119,966.38

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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.