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Finding the Fourth Proportional to 78,684.66, 108,584.85 and 42,874.68

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Solution

The fourth proportional to 78,684.66, 108,584.85 and 42,874.68 is: 59,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.66 : 108,584.85 = 42,874.68 : x
  2. Step 2: Convert to fraction form
    78,684.66/108,584.85 = 42,874.68/x
  3. Step 3: Cross multiply
    78,684.66x = 108,584.85 × 42,874.68
  4. Step 4: Simplify right side
    78,684.66x = 4,655,540,696.60
  5. Step 5: Solve for x
    x = 4,655,540,696.60/78,684.66
  6. Step 6: Final answer
    x = 59,167.07

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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.