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Finding the Fourth Proportional to 157,418.68, 217,230.42 and 85,796.28

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Solution

The fourth proportional to 157,418.68, 217,230.42 and 85,796.28 is: 118,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,418.68 : 217,230.42 = 85,796.28 : x
  2. Step 2: Convert to fraction form
    157,418.68/217,230.42 = 85,796.28/x
  3. Step 3: Cross multiply
    157,418.68x = 217,230.42 × 85,796.28
  4. Step 4: Simplify right side
    157,418.68x = 18,637,561,938.84
  5. Step 5: Solve for x
    x = 18,637,561,938.84/157,418.68
  6. Step 6: Final answer
    x = 118,394.86

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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.