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Finding the Fourth Proportional to 81,902.24, 122,780.24 and 31,970.74

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Solution

The fourth proportional to 81,902.24, 122,780.24 and 31,970.74 is: 47,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.24 : 122,780.24 = 31,970.74 : x
  2. Step 2: Convert to fraction form
    81,902.24/122,780.24 = 31,970.74/x
  3. Step 3: Cross multiply
    81,902.24x = 122,780.24 × 31,970.74
  4. Step 4: Simplify right side
    81,902.24x = 3,925,375,130.18
  5. Step 5: Solve for x
    x = 3,925,375,130.18/81,902.24
  6. Step 6: Final answer
    x = 47,927.57

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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.