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Finding the Fourth Proportional to 157,353.67, 217,145.31 and 85,734.21

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Solution

The fourth proportional to 157,353.67, 217,145.31 and 85,734.21 is: 118,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,353.67 : 217,145.31 = 85,734.21 : x
  2. Step 2: Convert to fraction form
    157,353.67/217,145.31 = 85,734.21/x
  3. Step 3: Cross multiply
    157,353.67x = 217,145.31 × 85,734.21
  4. Step 4: Simplify right side
    157,353.67x = 18,616,781,608.06
  5. Step 5: Solve for x
    x = 18,616,781,608.06/157,353.67
  6. Step 6: Final answer
    x = 118,311.71

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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.