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Finding the Fourth Proportional to 129,270.61, 178,394.31 and 75,544.90

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Solution

The fourth proportional to 129,270.61, 178,394.31 and 75,544.90 is: 104,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,270.61 : 178,394.31 = 75,544.90 : x
  2. Step 2: Convert to fraction form
    129,270.61/178,394.31 = 75,544.90/x
  3. Step 3: Cross multiply
    129,270.61x = 178,394.31 × 75,544.90
  4. Step 4: Simplify right side
    129,270.61x = 13,476,780,309.52
  5. Step 5: Solve for x
    x = 13,476,780,309.52/129,270.61
  6. Step 6: Final answer
    x = 104,252.47

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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.