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Finding the Fourth Proportional to 157,618.56, 217,481.92 and 100,280.64

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Solution

The fourth proportional to 157,618.56, 217,481.92 and 100,280.64 is: 138,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,618.56 : 217,481.92 = 100,280.64 : x
  2. Step 2: Convert to fraction form
    157,618.56/217,481.92 = 100,280.64/x
  3. Step 3: Cross multiply
    157,618.56x = 217,481.92 × 100,280.64
  4. Step 4: Simplify right side
    157,618.56x = 21,809,226,126.03
  5. Step 5: Solve for x
    x = 21,809,226,126.03/157,618.56
  6. Step 6: Final answer
    x = 138,367.12

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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.