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Finding the Fourth Proportional to 120,164.16, 165,819.80 and 66,445.96

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Solution

The fourth proportional to 120,164.16, 165,819.80 and 66,445.96 is: 91,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.16 : 165,819.80 = 66,445.96 : x
  2. Step 2: Convert to fraction form
    120,164.16/165,819.80 = 66,445.96/x
  3. Step 3: Cross multiply
    120,164.16x = 165,819.80 × 66,445.96
  4. Step 4: Simplify right side
    120,164.16x = 11,018,055,798.01
  5. Step 5: Solve for x
    x = 11,018,055,798.01/120,164.16
  6. Step 6: Final answer
    x = 91,691.70

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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.