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Finding the Fourth Proportional to 120,912.70, 181,282.65 and 54,298.30

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Solution

The fourth proportional to 120,912.70, 181,282.65 and 54,298.30 is: 81,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912.70 : 181,282.65 = 54,298.30 : x
  2. Step 2: Convert to fraction form
    120,912.70/181,282.65 = 54,298.30/x
  3. Step 3: Cross multiply
    120,912.70x = 181,282.65 × 54,298.30
  4. Step 4: Simplify right side
    120,912.70x = 9,843,339,714.50
  5. Step 5: Solve for x
    x = 9,843,339,714.50/120,912.70
  6. Step 6: Final answer
    x = 81,408.65

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1.5x scale

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.