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Finding the Fourth Proportional to 257,147.94, 385,747.28 and 88,646.08

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Solution

The fourth proportional to 257,147.94, 385,747.28 and 88,646.08 is: 132,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,147.94 : 385,747.28 = 88,646.08 : x
  2. Step 2: Convert to fraction form
    257,147.94/385,747.28 = 88,646.08/x
  3. Step 3: Cross multiply
    257,147.94x = 385,747.28 × 88,646.08
  4. Step 4: Simplify right side
    257,147.94x = 34,194,984,242.66
  5. Step 5: Solve for x
    x = 34,194,984,242.66/257,147.94
  6. Step 6: Final answer
    x = 132,977.87

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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.