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Finding the Fourth Proportional to 78,354.97, 107,884.03 and 69,147.02

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Solution

The fourth proportional to 78,354.97, 107,884.03 and 69,147.02 is: 95,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354.97 : 107,884.03 = 69,147.02 : x
  2. Step 2: Convert to fraction form
    78,354.97/107,884.03 = 69,147.02/x
  3. Step 3: Cross multiply
    78,354.97x = 107,884.03 × 69,147.02
  4. Step 4: Simplify right side
    78,354.97x = 7,459,858,605.26
  5. Step 5: Solve for x
    x = 7,459,858,605.26/78,354.97
  6. Step 6: Final answer
    x = 95,205.94

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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.