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Finding the Fourth Proportional to 189,257.76, 261,177.36 and 104,377.76

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Solution

The fourth proportional to 189,257.76, 261,177.36 and 104,377.76 is: 144,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,257.76 : 261,177.36 = 104,377.76 : x
  2. Step 2: Convert to fraction form
    189,257.76/261,177.36 = 104,377.76/x
  3. Step 3: Cross multiply
    189,257.76x = 261,177.36 × 104,377.76
  4. Step 4: Simplify right side
    189,257.76x = 27,261,107,799.51
  5. Step 5: Solve for x
    x = 27,261,107,799.51/189,257.76
  6. Step 6: Final answer
    x = 144,042.22

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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.