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Finding the Fourth Proportional to 189,643.34, 261,719.03 and 109,093.70

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Solution

The fourth proportional to 189,643.34, 261,719.03 and 109,093.70 is: 150,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,643.34 : 261,719.03 = 109,093.70 : x
  2. Step 2: Convert to fraction form
    189,643.34/261,719.03 = 109,093.70/x
  3. Step 3: Cross multiply
    189,643.34x = 261,719.03 × 109,093.70
  4. Step 4: Simplify right side
    189,643.34x = 28,551,897,343.11
  5. Step 5: Solve for x
    x = 28,551,897,343.11/189,643.34
  6. Step 6: Final answer
    x = 150,555.76

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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.