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Finding the Fourth Proportional to 256,011.60, 384,061.98 and 87,548.78

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Solution

The fourth proportional to 256,011.60, 384,061.98 and 87,548.78 is: 131,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,011.60 : 384,061.98 = 87,548.78 : x
  2. Step 2: Convert to fraction form
    256,011.60/384,061.98 = 87,548.78/x
  3. Step 3: Cross multiply
    256,011.60x = 384,061.98 × 87,548.78
  4. Step 4: Simplify right side
    256,011.60x = 33,624,157,793.38
  5. Step 5: Solve for x
    x = 33,624,157,793.38/256,011.60
  6. Step 6: Final answer
    x = 131,338.42

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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.