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Finding the Fourth Proportional to 120,164.83, 165,820.80 and 66,446.29

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Solution

The fourth proportional to 120,164.83, 165,820.80 and 66,446.29 is: 91,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.83 : 165,820.80 = 66,446.29 : x
  2. Step 2: Convert to fraction form
    120,164.83/165,820.80 = 66,446.29/x
  3. Step 3: Cross multiply
    120,164.83x = 165,820.80 × 66,446.29
  4. Step 4: Simplify right side
    120,164.83x = 11,018,176,964.83
  5. Step 5: Solve for x
    x = 11,018,176,964.83/120,164.83
  6. Step 6: Final answer
    x = 91,692.19

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1.5x scale

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.