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Finding the Fourth Proportional to 78,578.80, 108,432.42 and 44,579.16

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Solution

The fourth proportional to 78,578.80, 108,432.42 and 44,579.16 is: 61,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.80 : 108,432.42 = 44,579.16 : x
  2. Step 2: Convert to fraction form
    78,578.80/108,432.42 = 44,579.16/x
  3. Step 3: Cross multiply
    78,578.80x = 108,432.42 × 44,579.16
  4. Step 4: Simplify right side
    78,578.80x = 4,833,826,200.37
  5. Step 5: Solve for x
    x = 4,833,826,200.37/78,578.80
  6. Step 6: Final answer
    x = 61,515.65

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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.