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Finding the Fourth Proportional to 157,408.54, 217,217.45 and 85,787.02

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Solution

The fourth proportional to 157,408.54, 217,217.45 and 85,787.02 is: 118,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.54 : 217,217.45 = 85,787.02 : x
  2. Step 2: Convert to fraction form
    157,408.54/217,217.45 = 85,787.02/x
  3. Step 3: Cross multiply
    157,408.54x = 217,217.45 × 85,787.02
  4. Step 4: Simplify right side
    157,408.54x = 18,634,437,398.92
  5. Step 5: Solve for x
    x = 18,634,437,398.92/157,408.54
  6. Step 6: Final answer
    x = 118,382.63

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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.