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Finding the Fourth Proportional to 48,759.84, 67,319.76 and 39,828.80

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Solution

The fourth proportional to 48,759.84, 67,319.76 and 39,828.80 is: 54,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,759.84 : 67,319.76 = 39,828.80 : x
  2. Step 2: Convert to fraction form
    48,759.84/67,319.76 = 39,828.80/x
  3. Step 3: Cross multiply
    48,759.84x = 67,319.76 × 39,828.80
  4. Step 4: Simplify right side
    48,759.84x = 2,681,265,257.09
  5. Step 5: Solve for x
    x = 2,681,265,257.09/48,759.84
  6. Step 6: Final answer
    x = 54,989.21

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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.