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Finding the Fourth Proportional to 157,408.66, 217,217.52 and 85,787.08

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Solution

The fourth proportional to 157,408.66, 217,217.52 and 85,787.08 is: 118,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.66 : 217,217.52 = 85,787.08 : x
  2. Step 2: Convert to fraction form
    157,408.66/217,217.52 = 85,787.08/x
  3. Step 3: Cross multiply
    157,408.66x = 217,217.52 × 85,787.08
  4. Step 4: Simplify right side
    157,408.66x = 18,634,456,765.64
  5. Step 5: Solve for x
    x = 18,634,456,765.64/157,408.66
  6. Step 6: Final answer
    x = 118,382.67

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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.