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Finding the Fourth Proportional to 71,119.40, 98,143.36 and 39,288

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Solution

The fourth proportional to 71,119.40, 98,143.36 and 39,288 is: 54,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,119.40 : 98,143.36 = 39,288 : x
  2. Step 2: Convert to fraction form
    71,119.40/98,143.36 = 39,288/x
  3. Step 3: Cross multiply
    71,119.40x = 98,143.36 × 39,288
  4. Step 4: Simplify right side
    71,119.40x = 3,855,856,327.68
  5. Step 5: Solve for x
    x = 3,855,856,327.68/71,119.40
  6. Step 6: Final answer
    x = 54,216.66

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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.