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Finding the Fourth Proportional to 76,140.80, 114,211.20 and 36,701.90

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Solution

The fourth proportional to 76,140.80, 114,211.20 and 36,701.90 is: 55,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140.80 : 114,211.20 = 36,701.90 : x
  2. Step 2: Convert to fraction form
    76,140.80/114,211.20 = 36,701.90/x
  3. Step 3: Cross multiply
    76,140.80x = 114,211.20 × 36,701.90
  4. Step 4: Simplify right side
    76,140.80x = 4,191,768,041.28
  5. Step 5: Solve for x
    x = 4,191,768,041.28/76,140.80
  6. Step 6: Final answer
    x = 55,052.85

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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.