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Finding the Fourth Proportional to 120,195.46, 165,920.80 and 74,895.84

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Solution

The fourth proportional to 120,195.46, 165,920.80 and 74,895.84 is: 103,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,195.46 : 165,920.80 = 74,895.84 : x
  2. Step 2: Convert to fraction form
    120,195.46/165,920.80 = 74,895.84/x
  3. Step 3: Cross multiply
    120,195.46x = 165,920.80 × 74,895.84
  4. Step 4: Simplify right side
    120,195.46x = 12,426,777,689.47
  5. Step 5: Solve for x
    x = 12,426,777,689.47/120,195.46
  6. Step 6: Final answer
    x = 103,388.08

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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.