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Finding the Fourth Proportional to 256,799.70, 385,124.22 and 96,760.17

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Solution

The fourth proportional to 256,799.70, 385,124.22 and 96,760.17 is: 145,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,799.70 : 385,124.22 = 96,760.17 : x
  2. Step 2: Convert to fraction form
    256,799.70/385,124.22 = 96,760.17/x
  3. Step 3: Cross multiply
    256,799.70x = 385,124.22 × 96,760.17
  4. Step 4: Simplify right side
    256,799.70x = 37,264,684,998.32
  5. Step 5: Solve for x
    x = 37,264,684,998.32/256,799.70
  6. Step 6: Final answer
    x = 145,111.87

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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.