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Finding the Fourth Proportional to 157,467.92, 217,306.42 and 100,912.10

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Solution

The fourth proportional to 157,467.92, 217,306.42 and 100,912.10 is: 139,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,467.92 : 217,306.42 = 100,912.10 : x
  2. Step 2: Convert to fraction form
    157,467.92/217,306.42 = 100,912.10/x
  3. Step 3: Cross multiply
    157,467.92x = 217,306.42 × 100,912.10
  4. Step 4: Simplify right side
    157,467.92x = 21,928,847,185.68
  5. Step 5: Solve for x
    x = 21,928,847,185.68/157,467.92
  6. Step 6: Final answer
    x = 139,259.14

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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.