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Finding the Fourth Proportional to 142,780.80, 213,982.20 and 76,077.30

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Solution

The fourth proportional to 142,780.80, 213,982.20 and 76,077.30 is: 114,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,780.80 : 213,982.20 = 76,077.30 : x
  2. Step 2: Convert to fraction form
    142,780.80/213,982.20 = 76,077.30/x
  3. Step 3: Cross multiply
    142,780.80x = 213,982.20 × 76,077.30
  4. Step 4: Simplify right side
    142,780.80x = 16,279,188,024.06
  5. Step 5: Solve for x
    x = 16,279,188,024.06/142,780.80
  6. Step 6: Final answer
    x = 114,015.25

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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.