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Finding the Fourth Proportional to 120,129.66, 165,751.37 and 71,722.15

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Solution

The fourth proportional to 120,129.66, 165,751.37 and 71,722.15 is: 98,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.66 : 165,751.37 = 71,722.15 : x
  2. Step 2: Convert to fraction form
    120,129.66/165,751.37 = 71,722.15/x
  3. Step 3: Cross multiply
    120,129.66x = 165,751.37 × 71,722.15
  4. Step 4: Simplify right side
    120,129.66x = 11,888,043,848.86
  5. Step 5: Solve for x
    x = 11,888,043,848.86/120,129.66
  6. Step 6: Final answer
    x = 98,960.11

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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.