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Finding the Fourth Proportional to 120,159.25, 165,816.52 and 66,446.53

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Solution

The fourth proportional to 120,159.25, 165,816.52 and 66,446.53 is: 91,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,159.25 : 165,816.52 = 66,446.53 : x
  2. Step 2: Convert to fraction form
    120,159.25/165,816.52 = 66,446.53/x
  3. Step 3: Cross multiply
    120,159.25x = 165,816.52 × 66,446.53
  4. Step 4: Simplify right side
    120,159.25x = 11,017,931,790.02
  5. Step 5: Solve for x
    x = 11,017,931,790.02/120,159.25
  6. Step 6: Final answer
    x = 91,694.41

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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.