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Finding the Fourth Proportional to 120,206.52, 165,878.70 and 66,490.68

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Solution

The fourth proportional to 120,206.52, 165,878.70 and 66,490.68 is: 91,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,206.52 : 165,878.70 = 66,490.68 : x
  2. Step 2: Convert to fraction form
    120,206.52/165,878.70 = 66,490.68/x
  3. Step 3: Cross multiply
    120,206.52x = 165,878.70 × 66,490.68
  4. Step 4: Simplify right side
    120,206.52x = 11,029,387,560.52
  5. Step 5: Solve for x
    x = 11,029,387,560.52/120,206.52
  6. Step 6: Final answer
    x = 91,753.65

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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.