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Finding the Fourth Proportional to 138,953.23, 191,759.01 and 85,267.90

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Solution

The fourth proportional to 138,953.23, 191,759.01 and 85,267.90 is: 117,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,953.23 : 191,759.01 = 85,267.90 : x
  2. Step 2: Convert to fraction form
    138,953.23/191,759.01 = 85,267.90/x
  3. Step 3: Cross multiply
    138,953.23x = 191,759.01 × 85,267.90
  4. Step 4: Simplify right side
    138,953.23x = 16,350,888,088.78
  5. Step 5: Solve for x
    x = 16,350,888,088.78/138,953.23
  6. Step 6: Final answer
    x = 117,671.88

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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.