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Finding the Fourth Proportional to 206,421.80, 309,690.30 and 101,244.20

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Solution

The fourth proportional to 206,421.80, 309,690.30 and 101,244.20 is: 151,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.80 : 309,690.30 = 101,244.20 : x
  2. Step 2: Convert to fraction form
    206,421.80/309,690.30 = 101,244.20/x
  3. Step 3: Cross multiply
    206,421.80x = 309,690.30 × 101,244.20
  4. Step 4: Simplify right side
    206,421.80x = 31,354,346,671.26
  5. Step 5: Solve for x
    x = 31,354,346,671.26/206,421.80
  6. Step 6: Final answer
    x = 151,894.55

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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.