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Finding the Fourth Proportional to 122,725.88, 183,972.16 and 78,227.72

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Solution

The fourth proportional to 122,725.88, 183,972.16 and 78,227.72 is: 117,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,725.88 : 183,972.16 = 78,227.72 : x
  2. Step 2: Convert to fraction form
    122,725.88/183,972.16 = 78,227.72/x
  3. Step 3: Cross multiply
    122,725.88x = 183,972.16 × 78,227.72
  4. Step 4: Simplify right side
    122,725.88x = 14,391,722,620.28
  5. Step 5: Solve for x
    x = 14,391,722,620.28/122,725.88
  6. Step 6: Final answer
    x = 117,267.22

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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.