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Finding the Fourth Proportional to 71,015.88, 106,422.28 and 52,147.89

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Solution

The fourth proportional to 71,015.88, 106,422.28 and 52,147.89 is: 78,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,015.88 : 106,422.28 = 52,147.89 : x
  2. Step 2: Convert to fraction form
    71,015.88/106,422.28 = 52,147.89/x
  3. Step 3: Cross multiply
    71,015.88x = 106,422.28 × 52,147.89
  4. Step 4: Simplify right side
    71,015.88x = 5,549,697,350.99
  5. Step 5: Solve for x
    x = 5,549,697,350.99/71,015.88
  6. Step 6: Final answer
    x = 78,147.27

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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.