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Finding the Fourth Proportional to 92,483.20, 138,724.80 and 82,641.70

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Solution

The fourth proportional to 92,483.20, 138,724.80 and 82,641.70 is: 123,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,483.20 : 138,724.80 = 82,641.70 : x
  2. Step 2: Convert to fraction form
    92,483.20/138,724.80 = 82,641.70/x
  3. Step 3: Cross multiply
    92,483.20x = 138,724.80 × 82,641.70
  4. Step 4: Simplify right side
    92,483.20x = 11,464,453,304.16
  5. Step 5: Solve for x
    x = 11,464,453,304.16/92,483.20
  6. Step 6: Final answer
    x = 123,962.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.