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Finding the Fourth Proportional to 140,002.80, 209,985.30 and 55,824.90

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Solution

The fourth proportional to 140,002.80, 209,985.30 and 55,824.90 is: 83,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,002.80 : 209,985.30 = 55,824.90 : x
  2. Step 2: Convert to fraction form
    140,002.80/209,985.30 = 55,824.90/x
  3. Step 3: Cross multiply
    140,002.80x = 209,985.30 × 55,824.90
  4. Step 4: Simplify right side
    140,002.80x = 11,722,408,373.97
  5. Step 5: Solve for x
    x = 11,722,408,373.97/140,002.80
  6. Step 6: Final answer
    x = 83,729.81

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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.