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Finding the Fourth Proportional to 206,678.40, 310,046.40 and 88,348.80

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Solution

The fourth proportional to 206,678.40, 310,046.40 and 88,348.80 is: 132,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,678.40 : 310,046.40 = 88,348.80 : x
  2. Step 2: Convert to fraction form
    206,678.40/310,046.40 = 88,348.80/x
  3. Step 3: Cross multiply
    206,678.40x = 310,046.40 × 88,348.80
  4. Step 4: Simplify right side
    206,678.40x = 27,392,227,384.32
  5. Step 5: Solve for x
    x = 27,392,227,384.32/206,678.40
  6. Step 6: Final answer
    x = 132,535.51

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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.