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Finding the Fourth Proportional to 157,408.73, 217,217.70 and 85,787.21

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Solution

The fourth proportional to 157,408.73, 217,217.70 and 85,787.21 is: 118,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.73 : 217,217.70 = 85,787.21 : x
  2. Step 2: Convert to fraction form
    157,408.73/217,217.70 = 85,787.21/x
  3. Step 3: Cross multiply
    157,408.73x = 217,217.70 × 85,787.21
  4. Step 4: Simplify right side
    157,408.73x = 18,634,499,359.53
  5. Step 5: Solve for x
    x = 18,634,499,359.53/157,408.73
  6. Step 6: Final answer
    x = 118,382.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.