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Finding the Fourth Proportional to 121,468.64, 167,553.23 and 78,380.69

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Solution

The fourth proportional to 121,468.64, 167,553.23 and 78,380.69 is: 108,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,468.64 : 167,553.23 = 78,380.69 : x
  2. Step 2: Convert to fraction form
    121,468.64/167,553.23 = 78,380.69/x
  3. Step 3: Cross multiply
    121,468.64x = 167,553.23 × 78,380.69
  4. Step 4: Simplify right side
    121,468.64x = 13,132,936,549.46
  5. Step 5: Solve for x
    x = 13,132,936,549.46/121,468.64
  6. Step 6: Final answer
    x = 108,117.92

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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.