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Finding the Fourth Proportional to 257,200.88, 385,801.36 and 107,359.43

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Solution

The fourth proportional to 257,200.88, 385,801.36 and 107,359.43 is: 161,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.88 : 385,801.36 = 107,359.43 : x
  2. Step 2: Convert to fraction form
    257,200.88/385,801.36 = 107,359.43/x
  3. Step 3: Cross multiply
    257,200.88x = 385,801.36 × 107,359.43
  4. Step 4: Simplify right side
    257,200.88x = 41,419,411,637.02
  5. Step 5: Solve for x
    x = 41,419,411,637.02/257,200.88
  6. Step 6: Final answer
    x = 161,039.16

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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.