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Finding the Fourth Proportional to 292,236.96, 438,321.12 and 81,891.84

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Solution

The fourth proportional to 292,236.96, 438,321.12 and 81,891.84 is: 122,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,236.96 : 438,321.12 = 81,891.84 : x
  2. Step 2: Convert to fraction form
    292,236.96/438,321.12 = 81,891.84/x
  3. Step 3: Cross multiply
    292,236.96x = 438,321.12 × 81,891.84
  4. Step 4: Simplify right side
    292,236.96x = 35,894,923,027.66
  5. Step 5: Solve for x
    x = 35,894,923,027.66/292,236.96
  6. Step 6: Final answer
    x = 122,828.14

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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.