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Finding the Fourth Proportional to 81,876.59, 112,988.14 and 45,577.79

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Solution

The fourth proportional to 81,876.59, 112,988.14 and 45,577.79 is: 62,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876.59 : 112,988.14 = 45,577.79 : x
  2. Step 2: Convert to fraction form
    81,876.59/112,988.14 = 45,577.79/x
  3. Step 3: Cross multiply
    81,876.59x = 112,988.14 × 45,577.79
  4. Step 4: Simplify right side
    81,876.59x = 5,149,749,717.41
  5. Step 5: Solve for x
    x = 5,149,749,717.41/81,876.59
  6. Step 6: Final answer
    x = 62,896.49

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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.