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Finding the Fourth Proportional to 256,716.62, 385,100.64 and 88,214.72

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Solution

The fourth proportional to 256,716.62, 385,100.64 and 88,214.72 is: 132,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,716.62 : 385,100.64 = 88,214.72 : x
  2. Step 2: Convert to fraction form
    256,716.62/385,100.64 = 88,214.72/x
  3. Step 3: Cross multiply
    256,716.62x = 385,100.64 × 88,214.72
  4. Step 4: Simplify right side
    256,716.62x = 33,971,545,129.42
  5. Step 5: Solve for x
    x = 33,971,545,129.42/256,716.62
  6. Step 6: Final answer
    x = 132,330.91

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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.