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Finding the Fourth Proportional to 120,165.60, 165,832.08 and 65,721

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Solution

The fourth proportional to 120,165.60, 165,832.08 and 65,721 is: 90,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,165.60 : 165,832.08 = 65,721 : x
  2. Step 2: Convert to fraction form
    120,165.60/165,832.08 = 65,721/x
  3. Step 3: Cross multiply
    120,165.60x = 165,832.08 × 65,721
  4. Step 4: Simplify right side
    120,165.60x = 10,898,650,129.68
  5. Step 5: Solve for x
    x = 10,898,650,129.68/120,165.60
  6. Step 6: Final answer
    x = 90,696.92

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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.