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Finding the Fourth Proportional to 261,763.80, 392,707.20 and 84,264.15

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Solution

The fourth proportional to 261,763.80, 392,707.20 and 84,264.15 is: 126,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,763.80 : 392,707.20 = 84,264.15 : x
  2. Step 2: Convert to fraction form
    261,763.80/392,707.20 = 84,264.15/x
  3. Step 3: Cross multiply
    261,763.80x = 392,707.20 × 84,264.15
  4. Step 4: Simplify right side
    261,763.80x = 33,091,138,406.88
  5. Step 5: Solve for x
    x = 33,091,138,406.88/261,763.80
  6. Step 6: Final answer
    x = 126,416.02

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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.