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Finding the Fourth Proportional to 121,132.68, 167,068.26 and 78,705

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Solution

The fourth proportional to 121,132.68, 167,068.26 and 78,705 is: 108,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,132.68 : 167,068.26 = 78,705 : x
  2. Step 2: Convert to fraction form
    121,132.68/167,068.26 = 78,705/x
  3. Step 3: Cross multiply
    121,132.68x = 167,068.26 × 78,705
  4. Step 4: Simplify right side
    121,132.68x = 13,149,107,403.30
  5. Step 5: Solve for x
    x = 13,149,107,403.30/121,132.68
  6. Step 6: Final answer
    x = 108,551.28

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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.