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Finding the Fourth Proportional to 157,475.68, 217,261.92 and 100,918.24

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Solution

The fourth proportional to 157,475.68, 217,261.92 and 100,918.24 is: 139,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,475.68 : 217,261.92 = 100,918.24 : x
  2. Step 2: Convert to fraction form
    157,475.68/217,261.92 = 100,918.24/x
  3. Step 3: Cross multiply
    157,475.68x = 217,261.92 × 100,918.24
  4. Step 4: Simplify right side
    157,475.68x = 21,925,690,585.42
  5. Step 5: Solve for x
    x = 21,925,690,585.42/157,475.68
  6. Step 6: Final answer
    x = 139,232.23

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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.