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Finding the Fourth Proportional to 261,760.80, 392,702.70 and 84,261.15

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Solution

The fourth proportional to 261,760.80, 392,702.70 and 84,261.15 is: 126,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,760.80 : 392,702.70 = 84,261.15 : x
  2. Step 2: Convert to fraction form
    261,760.80/392,702.70 = 84,261.15/x
  3. Step 3: Cross multiply
    261,760.80x = 392,702.70 × 84,261.15
  4. Step 4: Simplify right side
    261,760.80x = 33,089,581,110.11
  5. Step 5: Solve for x
    x = 33,089,581,110.11/261,760.80
  6. Step 6: Final answer
    x = 126,411.52

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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.