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Finding the Fourth Proportional to 122,687.97, 183,956.56 and 47,720.72

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Solution

The fourth proportional to 122,687.97, 183,956.56 and 47,720.72 is: 71,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,687.97 : 183,956.56 = 47,720.72 : x
  2. Step 2: Convert to fraction form
    122,687.97/183,956.56 = 47,720.72/x
  3. Step 3: Cross multiply
    122,687.97x = 183,956.56 × 47,720.72
  4. Step 4: Simplify right side
    122,687.97x = 8,778,539,491.92
  5. Step 5: Solve for x
    x = 8,778,539,491.92/122,687.97
  6. Step 6: Final answer
    x = 71,551.75

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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.