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Finding the Fourth Proportional to 206,542.40, 309,856.80 and 66,315.20

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Solution

The fourth proportional to 206,542.40, 309,856.80 and 66,315.20 is: 99,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,542.40 : 309,856.80 = 66,315.20 : x
  2. Step 2: Convert to fraction form
    206,542.40/309,856.80 = 66,315.20/x
  3. Step 3: Cross multiply
    206,542.40x = 309,856.80 × 66,315.20
  4. Step 4: Simplify right side
    206,542.40x = 20,548,215,663.36
  5. Step 5: Solve for x
    x = 20,548,215,663.36/206,542.40
  6. Step 6: Final answer
    x = 99,486.67

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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.