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Finding the Fourth Proportional to 256,681.90, 385,049.25 and 96,892.43

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Solution

The fourth proportional to 256,681.90, 385,049.25 and 96,892.43 is: 145,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,681.90 : 385,049.25 = 96,892.43 : x
  2. Step 2: Convert to fraction form
    256,681.90/385,049.25 = 96,892.43/x
  3. Step 3: Cross multiply
    256,681.90x = 385,049.25 × 96,892.43
  4. Step 4: Simplify right side
    256,681.90x = 37,308,357,017.72
  5. Step 5: Solve for x
    x = 37,308,357,017.72/256,681.90
  6. Step 6: Final answer
    x = 145,348.61

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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.