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Finding the Fourth Proportional to 85,084.62, 127,640.76 and 28,929.74

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Solution

The fourth proportional to 85,084.62, 127,640.76 and 28,929.74 is: 43,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.62 : 127,640.76 = 28,929.74 : x
  2. Step 2: Convert to fraction form
    85,084.62/127,640.76 = 28,929.74/x
  3. Step 3: Cross multiply
    85,084.62x = 127,640.76 × 28,929.74
  4. Step 4: Simplify right side
    85,084.62x = 3,692,614,000.20
  5. Step 5: Solve for x
    x = 3,692,614,000.20/85,084.62
  6. Step 6: Final answer
    x = 43,399.31

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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.