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Finding the Fourth Proportional to 138,762.86, 191,470.84 and 81,398.12

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Solution

The fourth proportional to 138,762.86, 191,470.84 and 81,398.12 is: 112,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,762.86 : 191,470.84 = 81,398.12 : x
  2. Step 2: Convert to fraction form
    138,762.86/191,470.84 = 81,398.12/x
  3. Step 3: Cross multiply
    138,762.86x = 191,470.84 × 81,398.12
  4. Step 4: Simplify right side
    138,762.86x = 15,585,365,249.97
  5. Step 5: Solve for x
    x = 15,585,365,249.97/138,762.86
  6. Step 6: Final answer
    x = 112,316.55

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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.