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Finding the Fourth Proportional to 71,253.48, 106,880.12 and 28,578.16

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Solution

The fourth proportional to 71,253.48, 106,880.12 and 28,578.16 is: 42,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,253.48 : 106,880.12 = 28,578.16 : x
  2. Step 2: Convert to fraction form
    71,253.48/106,880.12 = 28,578.16/x
  3. Step 3: Cross multiply
    71,253.48x = 106,880.12 × 28,578.16
  4. Step 4: Simplify right side
    71,253.48x = 3,054,437,170.18
  5. Step 5: Solve for x
    x = 3,054,437,170.18/71,253.48
  6. Step 6: Final answer
    x = 42,867.20

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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.