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Finding the Fourth Proportional to 256,715.62, 385,099.14 and 88,213.72

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Solution

The fourth proportional to 256,715.62, 385,099.14 and 88,213.72 is: 132,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,715.62 : 385,099.14 = 88,213.72 : x
  2. Step 2: Convert to fraction form
    256,715.62/385,099.14 = 88,213.72/x
  3. Step 3: Cross multiply
    256,715.62x = 385,099.14 × 88,213.72
  4. Step 4: Simplify right side
    256,715.62x = 33,971,027,708.20
  5. Step 5: Solve for x
    x = 33,971,027,708.20/256,715.62
  6. Step 6: Final answer
    x = 132,329.41

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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.