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Finding the Fourth Proportional to 78,382.38, 108,168.84 and 44,390.02

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Solution

The fourth proportional to 78,382.38, 108,168.84 and 44,390.02 is: 61,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.38 : 108,168.84 = 44,390.02 : x
  2. Step 2: Convert to fraction form
    78,382.38/108,168.84 = 44,390.02/x
  3. Step 3: Cross multiply
    78,382.38x = 108,168.84 × 44,390.02
  4. Step 4: Simplify right side
    78,382.38x = 4,801,616,430.13
  5. Step 5: Solve for x
    x = 4,801,616,430.13/78,382.38
  6. Step 6: Final answer
    x = 61,258.88

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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.