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Finding the Fourth Proportional to 121,135.68, 167,072.40 and 78,708

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Solution

The fourth proportional to 121,135.68, 167,072.40 and 78,708 is: 108,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,135.68 : 167,072.40 = 78,708 : x
  2. Step 2: Convert to fraction form
    121,135.68/167,072.40 = 78,708/x
  3. Step 3: Cross multiply
    121,135.68x = 167,072.40 × 78,708
  4. Step 4: Simplify right side
    121,135.68x = 13,149,934,459.20
  5. Step 5: Solve for x
    x = 13,149,934,459.20/121,135.68
  6. Step 6: Final answer
    x = 108,555.42

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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.