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Finding the Fourth Proportional to 189,471.55, 261,470.19 and 104,588

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Solution

The fourth proportional to 189,471.55, 261,470.19 and 104,588 is: 144,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,471.55 : 261,470.19 = 104,588 : x
  2. Step 2: Convert to fraction form
    189,471.55/261,470.19 = 104,588/x
  3. Step 3: Cross multiply
    189,471.55x = 261,470.19 × 104,588
  4. Step 4: Simplify right side
    189,471.55x = 27,346,644,231.72
  5. Step 5: Solve for x
    x = 27,346,644,231.72/189,471.55
  6. Step 6: Final answer
    x = 144,331.14

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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.