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Finding the Fourth Proportional to 157,462.22, 217,290 and 89,470.22

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Solution

The fourth proportional to 157,462.22, 217,290 and 89,470.22 is: 123,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,462.22 : 217,290 = 89,470.22 : x
  2. Step 2: Convert to fraction form
    157,462.22/217,290 = 89,470.22/x
  3. Step 3: Cross multiply
    157,462.22x = 217,290 × 89,470.22
  4. Step 4: Simplify right side
    157,462.22x = 19,440,984,103.80
  5. Step 5: Solve for x
    x = 19,440,984,103.80/157,462.22
  6. Step 6: Final answer
    x = 123,464.44

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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.