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Finding the Fourth Proportional to 136,926.42, 188,956.32 and 76,497.90

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Solution

The fourth proportional to 136,926.42, 188,956.32 and 76,497.90 is: 105,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,926.42 : 188,956.32 = 76,497.90 : x
  2. Step 2: Convert to fraction form
    136,926.42/188,956.32 = 76,497.90/x
  3. Step 3: Cross multiply
    136,926.42x = 188,956.32 × 76,497.90
  4. Step 4: Simplify right side
    136,926.42x = 14,454,761,671.73
  5. Step 5: Solve for x
    x = 14,454,761,671.73/136,926.42
  6. Step 6: Final answer
    x = 105,565.91

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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.