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Finding the Fourth Proportional to 81,119.48, 121,681.10 and 27,811.01

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Solution

The fourth proportional to 81,119.48, 121,681.10 and 27,811.01 is: 41,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,119.48 : 121,681.10 = 27,811.01 : x
  2. Step 2: Convert to fraction form
    81,119.48/121,681.10 = 27,811.01/x
  3. Step 3: Cross multiply
    81,119.48x = 121,681.10 × 27,811.01
  4. Step 4: Simplify right side
    81,119.48x = 3,384,074,662.64
  5. Step 5: Solve for x
    x = 3,384,074,662.64/81,119.48
  6. Step 6: Final answer
    x = 41,717.17

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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.