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Finding the Fourth Proportional to 81,874.40, 122,876.40 and 31,978.40

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Solution

The fourth proportional to 81,874.40, 122,876.40 and 31,978.40 is: 47,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.40 : 122,876.40 = 31,978.40 : x
  2. Step 2: Convert to fraction form
    81,874.40/122,876.40 = 31,978.40/x
  3. Step 3: Cross multiply
    81,874.40x = 122,876.40 × 31,978.40
  4. Step 4: Simplify right side
    81,874.40x = 3,929,390,669.76
  5. Step 5: Solve for x
    x = 3,929,390,669.76/81,874.40
  6. Step 6: Final answer
    x = 47,992.91

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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.