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Finding the Fourth Proportional to 206,987.80, 310,481.70 and 144,002.20

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Solution

The fourth proportional to 206,987.80, 310,481.70 and 144,002.20 is: 216,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,987.80 : 310,481.70 = 144,002.20 : x
  2. Step 2: Convert to fraction form
    206,987.80/310,481.70 = 144,002.20/x
  3. Step 3: Cross multiply
    206,987.80x = 310,481.70 × 144,002.20
  4. Step 4: Simplify right side
    206,987.80x = 44,710,047,859.74
  5. Step 5: Solve for x
    x = 44,710,047,859.74/206,987.80
  6. Step 6: Final answer
    x = 216,003.30

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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.