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Finding the Fourth Proportional to 71,880.52, 107,815.02 and 19,289.80

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Solution

The fourth proportional to 71,880.52, 107,815.02 and 19,289.80 is: 28,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,880.52 : 107,815.02 = 19,289.80 : x
  2. Step 2: Convert to fraction form
    71,880.52/107,815.02 = 19,289.80/x
  3. Step 3: Cross multiply
    71,880.52x = 107,815.02 × 19,289.80
  4. Step 4: Simplify right side
    71,880.52x = 2,079,730,172.80
  5. Step 5: Solve for x
    x = 2,079,730,172.80/71,880.52
  6. Step 6: Final answer
    x = 28,933.15

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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.