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Finding the Fourth Proportional to 258,909.12, 388,363.56 and 71,920.56

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Solution

The fourth proportional to 258,909.12, 388,363.56 and 71,920.56 is: 107,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,909.12 : 388,363.56 = 71,920.56 : x
  2. Step 2: Convert to fraction form
    258,909.12/388,363.56 = 71,920.56/x
  3. Step 3: Cross multiply
    258,909.12x = 388,363.56 × 71,920.56
  4. Step 4: Simplify right side
    258,909.12x = 27,931,324,718.79
  5. Step 5: Solve for x
    x = 27,931,324,718.79/258,909.12
  6. Step 6: Final answer
    x = 107,880.81

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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.