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Finding the Fourth Proportional to 138,953.24, 191,759 and 85,267.92

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Solution

The fourth proportional to 138,953.24, 191,759 and 85,267.92 is: 117,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,953.24 : 191,759 = 85,267.92 : x
  2. Step 2: Convert to fraction form
    138,953.24/191,759 = 85,267.92/x
  3. Step 3: Cross multiply
    138,953.24x = 191,759 × 85,267.92
  4. Step 4: Simplify right side
    138,953.24x = 16,350,891,071.28
  5. Step 5: Solve for x
    x = 16,350,891,071.28/138,953.24
  6. Step 6: Final answer
    x = 117,671.90

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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.