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Finding the Fourth Proportional to 71,386.80, 106,977.80 and 52,519.60

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Solution

The fourth proportional to 71,386.80, 106,977.80 and 52,519.60 is: 78,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,386.80 : 106,977.80 = 52,519.60 : x
  2. Step 2: Convert to fraction form
    71,386.80/106,977.80 = 52,519.60/x
  3. Step 3: Cross multiply
    71,386.80x = 106,977.80 × 52,519.60
  4. Step 4: Simplify right side
    71,386.80x = 5,618,431,264.88
  5. Step 5: Solve for x
    x = 5,618,431,264.88/71,386.80
  6. Step 6: Final answer
    x = 78,704.06

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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.