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Finding the Fourth Proportional to 81,102.65, 121,563.63 and 33,691.32

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Solution

The fourth proportional to 81,102.65, 121,563.63 and 33,691.32 is: 50,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102.65 : 121,563.63 = 33,691.32 : x
  2. Step 2: Convert to fraction form
    81,102.65/121,563.63 = 33,691.32/x
  3. Step 3: Cross multiply
    81,102.65x = 121,563.63 × 33,691.32
  4. Step 4: Simplify right side
    81,102.65x = 4,095,639,158.69
  5. Step 5: Solve for x
    x = 4,095,639,158.69/81,102.65
  6. Step 6: Final answer
    x = 50,499.45

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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.