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Finding the Fourth Proportional to 138,687, 191,387.87 and 75,024.66

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Solution

The fourth proportional to 138,687, 191,387.87 and 75,024.66 is: 103,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,687 : 191,387.87 = 75,024.66 : x
  2. Step 2: Convert to fraction form
    138,687/191,387.87 = 75,024.66/x
  3. Step 3: Cross multiply
    138,687x = 191,387.87 × 75,024.66
  4. Step 4: Simplify right side
    138,687x = 14,358,809,499.75
  5. Step 5: Solve for x
    x = 14,358,809,499.75/138,687
  6. Step 6: Final answer
    x = 103,533.93

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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.