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Finding the Fourth Proportional to 83,906.31, 115,788.51 and 45,666.60

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Solution

The fourth proportional to 83,906.31, 115,788.51 and 45,666.60 is: 63,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.31 : 115,788.51 = 45,666.60 : x
  2. Step 2: Convert to fraction form
    83,906.31/115,788.51 = 45,666.60/x
  3. Step 3: Cross multiply
    83,906.31x = 115,788.51 × 45,666.60
  4. Step 4: Simplify right side
    83,906.31x = 5,287,667,570.77
  5. Step 5: Solve for x
    x = 5,287,667,570.77/83,906.31
  6. Step 6: Final answer
    x = 63,018.71

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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.