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Finding the Fourth Proportional to 138,960.83, 191,691.98 and 84,529.64

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Solution

The fourth proportional to 138,960.83, 191,691.98 and 84,529.64 is: 116,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,960.83 : 191,691.98 = 84,529.64 : x
  2. Step 2: Convert to fraction form
    138,960.83/191,691.98 = 84,529.64/x
  3. Step 3: Cross multiply
    138,960.83x = 191,691.98 × 84,529.64
  4. Step 4: Simplify right side
    138,960.83x = 16,203,654,060.29
  5. Step 5: Solve for x
    x = 16,203,654,060.29/138,960.83
  6. Step 6: Final answer
    x = 116,605.91

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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.