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Finding the Fourth Proportional to 257,018.43, 385,453.67 and 88,531.95

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Solution

The fourth proportional to 257,018.43, 385,453.67 and 88,531.95 is: 132,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018.43 : 385,453.67 = 88,531.95 : x
  2. Step 2: Convert to fraction form
    257,018.43/385,453.67 = 88,531.95/x
  3. Step 3: Cross multiply
    257,018.43x = 385,453.67 × 88,531.95
  4. Step 4: Simplify right side
    257,018.43x = 34,124,964,597.10
  5. Step 5: Solve for x
    x = 34,124,964,597.10/257,018.43
  6. Step 6: Final answer
    x = 132,772.44

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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.