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Finding the Fourth Proportional to 257,191.20, 385,801.92 and 99,420.48

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Solution

The fourth proportional to 257,191.20, 385,801.92 and 99,420.48 is: 149,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.20 : 385,801.92 = 99,420.48 : x
  2. Step 2: Convert to fraction form
    257,191.20/385,801.92 = 99,420.48/x
  3. Step 3: Cross multiply
    257,191.20x = 385,801.92 × 99,420.48
  4. Step 4: Simplify right side
    257,191.20x = 38,356,612,071.32
  5. Step 5: Solve for x
    x = 38,356,612,071.32/257,191.20
  6. Step 6: Final answer
    x = 149,136.56

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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.