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Finding the Fourth Proportional to 157,255.20, 235,980 and 63,761.76

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Solution

The fourth proportional to 157,255.20, 235,980 and 63,761.76 is: 95,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,255.20 : 235,980 = 63,761.76 : x
  2. Step 2: Convert to fraction form
    157,255.20/235,980 = 63,761.76/x
  3. Step 3: Cross multiply
    157,255.20x = 235,980 × 63,761.76
  4. Step 4: Simplify right side
    157,255.20x = 15,046,500,124.80
  5. Step 5: Solve for x
    x = 15,046,500,124.80/157,255.20
  6. Step 6: Final answer
    x = 95,682.05

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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.