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Finding the Fourth Proportional to 71,206.65, 106,716.53 and 52,398.63

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Solution

The fourth proportional to 71,206.65, 106,716.53 and 52,398.63 is: 78,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.65 : 106,716.53 = 52,398.63 : x
  2. Step 2: Convert to fraction form
    71,206.65/106,716.53 = 52,398.63/x
  3. Step 3: Cross multiply
    71,206.65x = 106,716.53 × 52,398.63
  4. Step 4: Simplify right side
    71,206.65x = 5,591,800,101.35
  5. Step 5: Solve for x
    x = 5,591,800,101.35/71,206.65
  6. Step 6: Final answer
    x = 78,529.18

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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.