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Finding the Fourth Proportional to 136,641.38, 188,565.42 and 76,215.89

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Solution

The fourth proportional to 136,641.38, 188,565.42 and 76,215.89 is: 105,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,641.38 : 188,565.42 = 76,215.89 : x
  2. Step 2: Convert to fraction form
    136,641.38/188,565.42 = 76,215.89/x
  3. Step 3: Cross multiply
    136,641.38x = 188,565.42 × 76,215.89
  4. Step 4: Simplify right side
    136,641.38x = 14,371,680,576.35
  5. Step 5: Solve for x
    x = 14,371,680,576.35/136,641.38
  6. Step 6: Final answer
    x = 105,178.10

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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.