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Finding the Fourth Proportional to 78,019.20, 117,057.60 and 75,139.20

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Solution

The fourth proportional to 78,019.20, 117,057.60 and 75,139.20 is: 112,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,019.20 : 117,057.60 = 75,139.20 : x
  2. Step 2: Convert to fraction form
    78,019.20/117,057.60 = 75,139.20/x
  3. Step 3: Cross multiply
    78,019.20x = 117,057.60 × 75,139.20
  4. Step 4: Simplify right side
    78,019.20x = 8,795,614,417.92
  5. Step 5: Solve for x
    x = 8,795,614,417.92/78,019.20
  6. Step 6: Final answer
    x = 112,736.54

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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.