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Finding the Fourth Proportional to 257,542.88, 386,297.40 and 89,024

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Solution

The fourth proportional to 257,542.88, 386,297.40 and 89,024 is: 133,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,542.88 : 386,297.40 = 89,024 : x
  2. Step 2: Convert to fraction form
    257,542.88/386,297.40 = 89,024/x
  3. Step 3: Cross multiply
    257,542.88x = 386,297.40 × 89,024
  4. Step 4: Simplify right side
    257,542.88x = 34,389,739,737.60
  5. Step 5: Solve for x
    x = 34,389,739,737.60/257,542.88
  6. Step 6: Final answer
    x = 133,530.15

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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.