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Finding the Fourth Proportional to 81,378.40, 121,994.70 and 53,311.90

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Solution

The fourth proportional to 81,378.40, 121,994.70 and 53,311.90 is: 79,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378.40 : 121,994.70 = 53,311.90 : x
  2. Step 2: Convert to fraction form
    81,378.40/121,994.70 = 53,311.90/x
  3. Step 3: Cross multiply
    81,378.40x = 121,994.70 × 53,311.90
  4. Step 4: Simplify right side
    81,378.40x = 6,503,769,246.93
  5. Step 5: Solve for x
    x = 6,503,769,246.93/81,378.40
  6. Step 6: Final answer
    x = 79,920.09

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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.