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Finding the Fourth Proportional to 75,881.30, 113,821.95 and 71,993.30

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Solution

The fourth proportional to 75,881.30, 113,821.95 and 71,993.30 is: 107,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.30 : 113,821.95 = 71,993.30 : x
  2. Step 2: Convert to fraction form
    75,881.30/113,821.95 = 71,993.30/x
  3. Step 3: Cross multiply
    75,881.30x = 113,821.95 × 71,993.30
  4. Step 4: Simplify right side
    75,881.30x = 8,194,417,792.94
  5. Step 5: Solve for x
    x = 8,194,417,792.94/75,881.30
  6. Step 6: Final answer
    x = 107,989.95

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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.