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Finding the Fourth Proportional to 78,728.76, 118,138.86 and 33,133.08

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Solution

The fourth proportional to 78,728.76, 118,138.86 and 33,133.08 is: 49,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,728.76 : 118,138.86 = 33,133.08 : x
  2. Step 2: Convert to fraction form
    78,728.76/118,138.86 = 33,133.08/x
  3. Step 3: Cross multiply
    78,728.76x = 118,138.86 × 33,133.08
  4. Step 4: Simplify right side
    78,728.76x = 3,914,304,299.49
  5. Step 5: Solve for x
    x = 3,914,304,299.49/78,728.76
  6. Step 6: Final answer
    x = 49,718.86

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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.