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Finding the Fourth Proportional to 157,589.42, 217,473.09 and 85,969.43

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Solution

The fourth proportional to 157,589.42, 217,473.09 and 85,969.43 is: 118,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,589.42 : 217,473.09 = 85,969.43 : x
  2. Step 2: Convert to fraction form
    157,589.42/217,473.09 = 85,969.43/x
  3. Step 3: Cross multiply
    157,589.42x = 217,473.09 × 85,969.43
  4. Step 4: Simplify right side
    157,589.42x = 18,696,036,500.27
  5. Step 5: Solve for x
    x = 18,696,036,500.27/157,589.42
  6. Step 6: Final answer
    x = 118,637.64

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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.