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Finding the Fourth Proportional to 81,098.19, 112,023.54 and 65,242.44

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Solution

The fourth proportional to 81,098.19, 112,023.54 and 65,242.44 is: 90,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,098.19 : 112,023.54 = 65,242.44 : x
  2. Step 2: Convert to fraction form
    81,098.19/112,023.54 = 65,242.44/x
  3. Step 3: Cross multiply
    81,098.19x = 112,023.54 × 65,242.44
  4. Step 4: Simplify right side
    81,098.19x = 7,308,689,087.04
  5. Step 5: Solve for x
    x = 7,308,689,087.04/81,098.19
  6. Step 6: Final answer
    x = 90,121.48

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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.