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Finding the Fourth Proportional to 140,691.29, 194,146.29 and 77,016.77

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Solution

The fourth proportional to 140,691.29, 194,146.29 and 77,016.77 is: 106,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,691.29 : 194,146.29 = 77,016.77 : x
  2. Step 2: Convert to fraction form
    140,691.29/194,146.29 = 77,016.77/x
  3. Step 3: Cross multiply
    140,691.29x = 194,146.29 × 77,016.77
  4. Step 4: Simplify right side
    140,691.29x = 14,952,520,163.28
  5. Step 5: Solve for x
    x = 14,952,520,163.28/140,691.29
  6. Step 6: Final answer
    x = 106,278.93

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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.