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Finding the Fourth Proportional to 52,195.80, 71,997.36 and 30,960

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Solution

The fourth proportional to 52,195.80, 71,997.36 and 30,960 is: 42,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,195.80 : 71,997.36 = 30,960 : x
  2. Step 2: Convert to fraction form
    52,195.80/71,997.36 = 30,960/x
  3. Step 3: Cross multiply
    52,195.80x = 71,997.36 × 30,960
  4. Step 4: Simplify right side
    52,195.80x = 2,229,038,265.60
  5. Step 5: Solve for x
    x = 2,229,038,265.60/52,195.80
  6. Step 6: Final answer
    x = 42,705.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.