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Finding the Fourth Proportional to 78,378.92, 108,162.52 and 42,568.64

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Solution

The fourth proportional to 78,378.92, 108,162.52 and 42,568.64 is: 58,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.92 : 108,162.52 = 42,568.64 : x
  2. Step 2: Convert to fraction form
    78,378.92/108,162.52 = 42,568.64/x
  3. Step 3: Cross multiply
    78,378.92x = 108,162.52 × 42,568.64
  4. Step 4: Simplify right side
    78,378.92x = 4,604,331,375.37
  5. Step 5: Solve for x
    x = 4,604,331,375.37/78,378.92
  6. Step 6: Final answer
    x = 58,744.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.