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Finding the Fourth Proportional to 157,034.70, 216,711.45 and 85,418.55

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Solution

The fourth proportional to 157,034.70, 216,711.45 and 85,418.55 is: 117,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,034.70 : 216,711.45 = 85,418.55 : x
  2. Step 2: Convert to fraction form
    157,034.70/216,711.45 = 85,418.55/x
  3. Step 3: Cross multiply
    157,034.70x = 216,711.45 × 85,418.55
  4. Step 4: Simplify right side
    157,034.70x = 18,511,177,827.40
  5. Step 5: Solve for x
    x = 18,511,177,827.40/157,034.70
  6. Step 6: Final answer
    x = 117,879.54

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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.