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Finding the Fourth Proportional to 231,856.80, 347,859.84 and 105,542.24

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Solution

The fourth proportional to 231,856.80, 347,859.84 and 105,542.24 is: 158,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,856.80 : 347,859.84 = 105,542.24 : x
  2. Step 2: Convert to fraction form
    231,856.80/347,859.84 = 105,542.24/x
  3. Step 3: Cross multiply
    231,856.80x = 347,859.84 × 105,542.24
  4. Step 4: Simplify right side
    231,856.80x = 36,713,906,719.64
  5. Step 5: Solve for x
    x = 36,713,906,719.64/231,856.80
  6. Step 6: Final answer
    x = 158,347.34

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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.