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Finding the Fourth Proportional to 81,978.32, 122,809.80 and 50,295.92

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Solution

The fourth proportional to 81,978.32, 122,809.80 and 50,295.92 is: 75,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978.32 : 122,809.80 = 50,295.92 : x
  2. Step 2: Convert to fraction form
    81,978.32/122,809.80 = 50,295.92/x
  3. Step 3: Cross multiply
    81,978.32x = 122,809.80 × 50,295.92
  4. Step 4: Simplify right side
    81,978.32x = 6,176,831,876.02
  5. Step 5: Solve for x
    x = 6,176,831,876.02/81,978.32
  6. Step 6: Final answer
    x = 75,347.14

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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.