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Finding the Fourth Proportional to 78,077.44, 117,120.44 and 24,765.57

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Solution

The fourth proportional to 78,077.44, 117,120.44 and 24,765.57 is: 37,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.44 : 117,120.44 = 24,765.57 : x
  2. Step 2: Convert to fraction form
    78,077.44/117,120.44 = 24,765.57/x
  3. Step 3: Cross multiply
    78,077.44x = 117,120.44 × 24,765.57
  4. Step 4: Simplify right side
    78,077.44x = 2,900,554,455.25
  5. Step 5: Solve for x
    x = 2,900,554,455.25/78,077.44
  6. Step 6: Final answer
    x = 37,149.71

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1.5x scale

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.