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Finding the Fourth Proportional to 81,097.96, 121,709.58 and 41,689.48

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Solution

The fourth proportional to 81,097.96, 121,709.58 and 41,689.48 is: 62,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,097.96 : 121,709.58 = 41,689.48 : x
  2. Step 2: Convert to fraction form
    81,097.96/121,709.58 = 41,689.48/x
  3. Step 3: Cross multiply
    81,097.96x = 121,709.58 × 41,689.48
  4. Step 4: Simplify right side
    81,097.96x = 5,074,009,101.22
  5. Step 5: Solve for x
    x = 5,074,009,101.22/81,097.96
  6. Step 6: Final answer
    x = 62,566.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.