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Finding the Fourth Proportional to 138,761.52, 191,473.56 and 78,324.72

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Solution

The fourth proportional to 138,761.52, 191,473.56 and 78,324.72 is: 108,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,761.52 : 191,473.56 = 78,324.72 : x
  2. Step 2: Convert to fraction form
    138,761.52/191,473.56 = 78,324.72/x
  3. Step 3: Cross multiply
    138,761.52x = 191,473.56 × 78,324.72
  4. Step 4: Simplify right side
    138,761.52x = 14,997,112,974.40
  5. Step 5: Solve for x
    x = 14,997,112,974.40/138,761.52
  6. Step 6: Final answer
    x = 108,078.33

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1.5x scale

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.