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Finding the Fourth Proportional to 189,649.82, 261,724.28 and 109,077.26

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Solution

The fourth proportional to 189,649.82, 261,724.28 and 109,077.26 is: 150,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,649.82 : 261,724.28 = 109,077.26 : x
  2. Step 2: Convert to fraction form
    189,649.82/261,724.28 = 109,077.26/x
  3. Step 3: Cross multiply
    189,649.82x = 261,724.28 × 109,077.26
  4. Step 4: Simplify right side
    189,649.82x = 28,548,165,483.87
  5. Step 5: Solve for x
    x = 28,548,165,483.87/189,649.82
  6. Step 6: Final answer
    x = 150,530.94

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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.