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Finding the Fourth Proportional to 149,689.89, 206,566.88 and 89,229.38

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Solution

The fourth proportional to 149,689.89, 206,566.88 and 89,229.38 is: 123,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,689.89 : 206,566.88 = 89,229.38 : x
  2. Step 2: Convert to fraction form
    149,689.89/206,566.88 = 89,229.38/x
  3. Step 3: Cross multiply
    149,689.89x = 206,566.88 × 89,229.38
  4. Step 4: Simplify right side
    149,689.89x = 18,431,833,151.95
  5. Step 5: Solve for x
    x = 18,431,833,151.95/149,689.89
  6. Step 6: Final answer
    x = 123,133.45

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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.