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Finding the Fourth Proportional to 261,727.20, 392,590.80 and 84,248.10

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Solution

The fourth proportional to 261,727.20, 392,590.80 and 84,248.10 is: 126,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,727.20 : 392,590.80 = 84,248.10 : x
  2. Step 2: Convert to fraction form
    261,727.20/392,590.80 = 84,248.10/x
  3. Step 3: Cross multiply
    261,727.20x = 392,590.80 × 84,248.10
  4. Step 4: Simplify right side
    261,727.20x = 33,075,028,977.48
  5. Step 5: Solve for x
    x = 33,075,028,977.48/261,727.20
  6. Step 6: Final answer
    x = 126,372.15

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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.