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Finding the Fourth Proportional to 206,570.20, 309,199.20 and 147,521.20

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Solution

The fourth proportional to 206,570.20, 309,199.20 and 147,521.20 is: 220,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,570.20 : 309,199.20 = 147,521.20 : x
  2. Step 2: Convert to fraction form
    206,570.20/309,199.20 = 147,521.20/x
  3. Step 3: Cross multiply
    206,570.20x = 309,199.20 × 147,521.20
  4. Step 4: Simplify right side
    206,570.20x = 45,613,437,023.04
  5. Step 5: Solve for x
    x = 45,613,437,023.04/206,570.20
  6. Step 6: Final answer
    x = 220,813.25

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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.