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Finding the Fourth Proportional to 206,556.64, 309,765.76 and 66,281.92

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Solution

The fourth proportional to 206,556.64, 309,765.76 and 66,281.92 is: 99,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,556.64 : 309,765.76 = 66,281.92 : x
  2. Step 2: Convert to fraction form
    206,556.64/309,765.76 = 66,281.92/x
  3. Step 3: Cross multiply
    206,556.64x = 309,765.76 × 66,281.92
  4. Step 4: Simplify right side
    206,556.64x = 20,531,869,323.06
  5. Step 5: Solve for x
    x = 20,531,869,323.06/206,556.64
  6. Step 6: Final answer
    x = 99,400.67

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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.