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Finding the Fourth Proportional to 256,671.05, 385,061.51 and 76,770.59

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Solution

The fourth proportional to 256,671.05, 385,061.51 and 76,770.59 is: 115,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,671.05 : 385,061.51 = 76,770.59 : x
  2. Step 2: Convert to fraction form
    256,671.05/385,061.51 = 76,770.59/x
  3. Step 3: Cross multiply
    256,671.05x = 385,061.51 × 76,770.59
  4. Step 4: Simplify right side
    256,671.05x = 29,561,397,575.61
  5. Step 5: Solve for x
    x = 29,561,397,575.61/256,671.05
  6. Step 6: Final answer
    x = 115,172.31

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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.