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Finding the Fourth Proportional to 78,874.26, 108,845.65 and 43,064.16

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Solution

The fourth proportional to 78,874.26, 108,845.65 and 43,064.16 is: 59,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,874.26 : 108,845.65 = 43,064.16 : x
  2. Step 2: Convert to fraction form
    78,874.26/108,845.65 = 43,064.16/x
  3. Step 3: Cross multiply
    78,874.26x = 108,845.65 × 43,064.16
  4. Step 4: Simplify right side
    78,874.26x = 4,687,346,486.90
  5. Step 5: Solve for x
    x = 4,687,346,486.90/78,874.26
  6. Step 6: Final answer
    x = 59,428.09

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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.