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Finding the Fourth Proportional to 80,315.70, 120,474.50 and 38,199.84

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Solution

The fourth proportional to 80,315.70, 120,474.50 and 38,199.84 is: 57,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,315.70 : 120,474.50 = 38,199.84 : x
  2. Step 2: Convert to fraction form
    80,315.70/120,474.50 = 38,199.84/x
  3. Step 3: Cross multiply
    80,315.70x = 120,474.50 × 38,199.84
  4. Step 4: Simplify right side
    80,315.70x = 4,602,106,433.08
  5. Step 5: Solve for x
    x = 4,602,106,433.08/80,315.70
  6. Step 6: Final answer
    x = 57,300.21

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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.