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Finding the Fourth Proportional to 71,315.52, 106,968.80 and 18,723.84

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Solution

The fourth proportional to 71,315.52, 106,968.80 and 18,723.84 is: 28,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,315.52 : 106,968.80 = 18,723.84 : x
  2. Step 2: Convert to fraction form
    71,315.52/106,968.80 = 18,723.84/x
  3. Step 3: Cross multiply
    71,315.52x = 106,968.80 × 18,723.84
  4. Step 4: Simplify right side
    71,315.52x = 2,002,866,696.19
  5. Step 5: Solve for x
    x = 2,002,866,696.19/71,315.52
  6. Step 6: Final answer
    x = 28,084.58

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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.