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Finding the Fourth Proportional to 78,284.86, 108,109.80 and 54,147.64

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Solution

The fourth proportional to 78,284.86, 108,109.80 and 54,147.64 is: 74,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.86 : 108,109.80 = 54,147.64 : x
  2. Step 2: Convert to fraction form
    78,284.86/108,109.80 = 54,147.64/x
  3. Step 3: Cross multiply
    78,284.86x = 108,109.80 × 54,147.64
  4. Step 4: Simplify right side
    78,284.86x = 5,853,890,530.87
  5. Step 5: Solve for x
    x = 5,853,890,530.87/78,284.86
  6. Step 6: Final answer
    x = 74,776.79

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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.