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Finding the Fourth Proportional to 206,981.80, 310,472.70 and 73,866.40

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Solution

The fourth proportional to 206,981.80, 310,472.70 and 73,866.40 is: 110,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,981.80 : 310,472.70 = 73,866.40 : x
  2. Step 2: Convert to fraction form
    206,981.80/310,472.70 = 73,866.40/x
  3. Step 3: Cross multiply
    206,981.80x = 310,472.70 × 73,866.40
  4. Step 4: Simplify right side
    206,981.80x = 22,933,500,647.28
  5. Step 5: Solve for x
    x = 22,933,500,647.28/206,981.80
  6. Step 6: Final answer
    x = 110,799.60

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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.