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Finding the Fourth Proportional to 120,065.12, 165,702.69 and 69,080.08

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Solution

The fourth proportional to 120,065.12, 165,702.69 and 69,080.08 is: 95,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,065.12 : 165,702.69 = 69,080.08 : x
  2. Step 2: Convert to fraction form
    120,065.12/165,702.69 = 69,080.08/x
  3. Step 3: Cross multiply
    120,065.12x = 165,702.69 × 69,080.08
  4. Step 4: Simplify right side
    120,065.12x = 11,446,755,081.42
  5. Step 5: Solve for x
    x = 11,446,755,081.42/120,065.12
  6. Step 6: Final answer
    x = 95,337.89

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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.