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Finding the Fourth Proportional to 157,261.57, 217,024.85 and 85,645.49

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Solution

The fourth proportional to 157,261.57, 217,024.85 and 85,645.49 is: 118,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,261.57 : 217,024.85 = 85,645.49 : x
  2. Step 2: Convert to fraction form
    157,261.57/217,024.85 = 85,645.49/x
  3. Step 3: Cross multiply
    157,261.57x = 217,024.85 × 85,645.49
  4. Step 4: Simplify right side
    157,261.57x = 18,587,198,749.42
  5. Step 5: Solve for x
    x = 18,587,198,749.42/157,261.57
  6. Step 6: Final answer
    x = 118,192.89

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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.