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Finding the Fourth Proportional to 206,895.40, 310,343.10 and 88,578.70

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Solution

The fourth proportional to 206,895.40, 310,343.10 and 88,578.70 is: 132,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,895.40 : 310,343.10 = 88,578.70 : x
  2. Step 2: Convert to fraction form
    206,895.40/310,343.10 = 88,578.70/x
  3. Step 3: Cross multiply
    206,895.40x = 310,343.10 × 88,578.70
  4. Step 4: Simplify right side
    206,895.40x = 27,489,788,351.97
  5. Step 5: Solve for x
    x = 27,489,788,351.97/206,895.40
  6. Step 6: Final answer
    x = 132,868.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.