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Finding the Fourth Proportional to 120,306.79, 180,398.01 and 52,811.20

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Solution

The fourth proportional to 120,306.79, 180,398.01 and 52,811.20 is: 79,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,306.79 : 180,398.01 = 52,811.20 : x
  2. Step 2: Convert to fraction form
    120,306.79/180,398.01 = 52,811.20/x
  3. Step 3: Cross multiply
    120,306.79x = 180,398.01 × 52,811.20
  4. Step 4: Simplify right side
    120,306.79x = 9,527,035,121.66
  5. Step 5: Solve for x
    x = 9,527,035,121.66/120,306.79
  6. Step 6: Final answer
    x = 79,189.50

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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.