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Finding the Fourth Proportional to 257,197.48, 385,821.56 and 88,695.74

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Solution

The fourth proportional to 257,197.48, 385,821.56 and 88,695.74 is: 133,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,197.48 : 385,821.56 = 88,695.74 : x
  2. Step 2: Convert to fraction form
    257,197.48/385,821.56 = 88,695.74/x
  3. Step 3: Cross multiply
    257,197.48x = 385,821.56 × 88,695.74
  4. Step 4: Simplify right side
    257,197.48x = 34,220,729,958.45
  5. Step 5: Solve for x
    x = 34,220,729,958.45/257,197.48
  6. Step 6: Final answer
    x = 133,052.35

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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.