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Finding the Fourth Proportional to 81,956.91, 122,894.19 and 47,773.68

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Solution

The fourth proportional to 81,956.91, 122,894.19 and 47,773.68 is: 71,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956.91 : 122,894.19 = 47,773.68 : x
  2. Step 2: Convert to fraction form
    81,956.91/122,894.19 = 47,773.68/x
  3. Step 3: Cross multiply
    81,956.91x = 122,894.19 × 47,773.68
  4. Step 4: Simplify right side
    81,956.91x = 5,871,107,706.92
  5. Step 5: Solve for x
    x = 5,871,107,706.92/81,956.91
  6. Step 6: Final answer
    x = 71,636.52

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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.