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Finding the Fourth Proportional to 120,618, 180,902.34 and 45,712.35

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Solution

The fourth proportional to 120,618, 180,902.34 and 45,712.35 is: 68,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,618 : 180,902.34 = 45,712.35 : x
  2. Step 2: Convert to fraction form
    120,618/180,902.34 = 45,712.35/x
  3. Step 3: Cross multiply
    120,618x = 180,902.34 × 45,712.35
  4. Step 4: Simplify right side
    120,618x = 8,269,471,081.90
  5. Step 5: Solve for x
    x = 8,269,471,081.90/120,618
  6. Step 6: Final answer
    x = 68,559.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.