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Finding the Fourth Proportional to 231,460.32, 347,218.42 and 81,669.84

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Solution

The fourth proportional to 231,460.32, 347,218.42 and 81,669.84 is: 122,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,460.32 : 347,218.42 = 81,669.84 : x
  2. Step 2: Convert to fraction form
    231,460.32/347,218.42 = 81,669.84/x
  3. Step 3: Cross multiply
    231,460.32x = 347,218.42 × 81,669.84
  4. Step 4: Simplify right side
    231,460.32x = 28,357,272,806.45
  5. Step 5: Solve for x
    x = 28,357,272,806.45/231,460.32
  6. Step 6: Final answer
    x = 122,514.62

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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.