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Finding the Fourth Proportional to 120,182.68, 165,866.52 and 69,881.68

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Solution

The fourth proportional to 120,182.68, 165,866.52 and 69,881.68 is: 96,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,182.68 : 165,866.52 = 69,881.68 : x
  2. Step 2: Convert to fraction form
    120,182.68/165,866.52 = 69,881.68/x
  3. Step 3: Cross multiply
    120,182.68x = 165,866.52 × 69,881.68
  4. Step 4: Simplify right side
    120,182.68x = 11,591,031,073.35
  5. Step 5: Solve for x
    x = 11,591,031,073.35/120,182.68
  6. Step 6: Final answer
    x = 96,445.10

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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.