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Finding the Fourth Proportional to 257,039.56, 385,497.24 and 99,167.32

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Solution

The fourth proportional to 257,039.56, 385,497.24 and 99,167.32 is: 148,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,039.56 : 385,497.24 = 99,167.32 : x
  2. Step 2: Convert to fraction form
    257,039.56/385,497.24 = 99,167.32/x
  3. Step 3: Cross multiply
    257,039.56x = 385,497.24 × 99,167.32
  4. Step 4: Simplify right side
    257,039.56x = 38,228,728,158.20
  5. Step 5: Solve for x
    x = 38,228,728,158.20/257,039.56
  6. Step 6: Final answer
    x = 148,727.02

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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.