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Finding the Fourth Proportional to 142,777.80, 213,977.70 and 76,074.30

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Solution

The fourth proportional to 142,777.80, 213,977.70 and 76,074.30 is: 114,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,777.80 : 213,977.70 = 76,074.30 : x
  2. Step 2: Convert to fraction form
    142,777.80/213,977.70 = 76,074.30/x
  3. Step 3: Cross multiply
    142,777.80x = 213,977.70 × 76,074.30
  4. Step 4: Simplify right side
    142,777.80x = 16,278,203,743.11
  5. Step 5: Solve for x
    x = 16,278,203,743.11/142,777.80
  6. Step 6: Final answer
    x = 114,010.75

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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.