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Finding the Fourth Proportional to 189,722.17, 261,808.56 and 103,679.11

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Solution

The fourth proportional to 189,722.17, 261,808.56 and 103,679.11 is: 143,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,722.17 : 261,808.56 = 103,679.11 : x
  2. Step 2: Convert to fraction form
    189,722.17/261,808.56 = 103,679.11/x
  3. Step 3: Cross multiply
    189,722.17x = 261,808.56 × 103,679.11
  4. Step 4: Simplify right side
    189,722.17x = 27,144,078,491.18
  5. Step 5: Solve for x
    x = 27,144,078,491.18/189,722.17
  6. Step 6: Final answer
    x = 143,072.78

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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.