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Finding the Fourth Proportional to 169,306.20, 254,024.10 and 75,744.72

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Solution

The fourth proportional to 169,306.20, 254,024.10 and 75,744.72 is: 113,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,306.20 : 254,024.10 = 75,744.72 : x
  2. Step 2: Convert to fraction form
    169,306.20/254,024.10 = 75,744.72/x
  3. Step 3: Cross multiply
    169,306.20x = 254,024.10 × 75,744.72
  4. Step 4: Simplify right side
    169,306.20x = 19,240,984,327.75
  5. Step 5: Solve for x
    x = 19,240,984,327.75/169,306.20
  6. Step 6: Final answer
    x = 113,646.07

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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.