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Finding the Fourth Proportional to 120,063.63, 165,691.35 and 71,693.94

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Solution

The fourth proportional to 120,063.63, 165,691.35 and 71,693.94 is: 98,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,063.63 : 165,691.35 = 71,693.94 : x
  2. Step 2: Convert to fraction form
    120,063.63/165,691.35 = 71,693.94/x
  3. Step 3: Cross multiply
    120,063.63x = 165,691.35 × 71,693.94
  4. Step 4: Simplify right side
    120,063.63x = 11,879,065,705.42
  5. Step 5: Solve for x
    x = 11,879,065,705.42/120,063.63
  6. Step 6: Final answer
    x = 98,939.75

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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.