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Finding the Fourth Proportional to 206,154.76, 309,227.28 and 65,914.60

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Solution

The fourth proportional to 206,154.76, 309,227.28 and 65,914.60 is: 98,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,154.76 : 309,227.28 = 65,914.60 : x
  2. Step 2: Convert to fraction form
    206,154.76/309,227.28 = 65,914.60/x
  3. Step 3: Cross multiply
    206,154.76x = 309,227.28 × 65,914.60
  4. Step 4: Simplify right side
    206,154.76x = 20,382,592,470.29
  5. Step 5: Solve for x
    x = 20,382,592,470.29/206,154.76
  6. Step 6: Final answer
    x = 98,870.35

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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.