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Finding the Fourth Proportional to 81,711.43, 112,749.48 and 45,894.58

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Solution

The fourth proportional to 81,711.43, 112,749.48 and 45,894.58 is: 63,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.43 : 112,749.48 = 45,894.58 : x
  2. Step 2: Convert to fraction form
    81,711.43/112,749.48 = 45,894.58/x
  3. Step 3: Cross multiply
    81,711.43x = 112,749.48 × 45,894.58
  4. Step 4: Simplify right side
    81,711.43x = 5,174,590,029.82
  5. Step 5: Solve for x
    x = 5,174,590,029.82/81,711.43
  6. Step 6: Final answer
    x = 63,327.62

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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.