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Finding the Fourth Proportional to 81,722.96, 112,757.86 and 47,712.07

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Solution

The fourth proportional to 81,722.96, 112,757.86 and 47,712.07 is: 65,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.96 : 112,757.86 = 47,712.07 : x
  2. Step 2: Convert to fraction form
    81,722.96/112,757.86 = 47,712.07/x
  3. Step 3: Cross multiply
    81,722.96x = 112,757.86 × 47,712.07
  4. Step 4: Simplify right side
    81,722.96x = 5,379,910,909.37
  5. Step 5: Solve for x
    x = 5,379,910,909.37/81,722.96
  6. Step 6: Final answer
    x = 65,831.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.