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Finding the Fourth Proportional to 257,127.12, 385,490.88 and 97,200.48

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Solution

The fourth proportional to 257,127.12, 385,490.88 and 97,200.48 is: 145,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,127.12 : 385,490.88 = 97,200.48 : x
  2. Step 2: Convert to fraction form
    257,127.12/385,490.88 = 97,200.48/x
  3. Step 3: Cross multiply
    257,127.12x = 385,490.88 × 97,200.48
  4. Step 4: Simplify right side
    257,127.12x = 37,469,898,571.62
  5. Step 5: Solve for x
    x = 37,469,898,571.62/257,127.12
  6. Step 6: Final answer
    x = 145,725.19

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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.