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Finding the Fourth Proportional to 81,711.55, 112,749.66 and 45,894.70

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Solution

The fourth proportional to 81,711.55, 112,749.66 and 45,894.70 is: 63,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.55 : 112,749.66 = 45,894.70 : x
  2. Step 2: Convert to fraction form
    81,711.55/112,749.66 = 45,894.70/x
  3. Step 3: Cross multiply
    81,711.55x = 112,749.66 × 45,894.70
  4. Step 4: Simplify right side
    81,711.55x = 5,174,611,538.93
  5. Step 5: Solve for x
    x = 5,174,611,538.93/81,711.55
  6. Step 6: Final answer
    x = 63,327.79

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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.