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Finding the Fourth Proportional to 81,141.84, 121,719.18 and 28,563.12

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Solution

The fourth proportional to 81,141.84, 121,719.18 and 28,563.12 is: 42,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,141.84 : 121,719.18 = 28,563.12 : x
  2. Step 2: Convert to fraction form
    81,141.84/121,719.18 = 28,563.12/x
  3. Step 3: Cross multiply
    81,141.84x = 121,719.18 × 28,563.12
  4. Step 4: Simplify right side
    81,141.84x = 3,476,679,544.64
  5. Step 5: Solve for x
    x = 3,476,679,544.64/81,141.84
  6. Step 6: Final answer
    x = 42,846.94

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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.