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Finding the Fourth Proportional to 206,581.53, 309,886.34 and 66,331.65

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Solution

The fourth proportional to 206,581.53, 309,886.34 and 66,331.65 is: 99,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,581.53 : 309,886.34 = 66,331.65 : x
  2. Step 2: Convert to fraction form
    206,581.53/309,886.34 = 66,331.65/x
  3. Step 3: Cross multiply
    206,581.53x = 309,886.34 × 66,331.65
  4. Step 4: Simplify right side
    206,581.53x = 20,555,271,913.00
  5. Step 5: Solve for x
    x = 20,555,271,913.00/206,581.53
  6. Step 6: Final answer
    x = 99,501.98

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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.