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Finding the Fourth Proportional to 138,951.55, 191,764.36 and 78,534.77

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Solution

The fourth proportional to 138,951.55, 191,764.36 and 78,534.77 is: 108,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951.55 : 191,764.36 = 78,534.77 : x
  2. Step 2: Convert to fraction form
    138,951.55/191,764.36 = 78,534.77/x
  3. Step 3: Cross multiply
    138,951.55x = 191,764.36 × 78,534.77
  4. Step 4: Simplify right side
    138,951.55x = 15,060,169,046.14
  5. Step 5: Solve for x
    x = 15,060,169,046.14/138,951.55
  6. Step 6: Final answer
    x = 108,384.32

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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.