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Finding the Fourth Proportional to 189,812.40, 261,930.84 and 104,924

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Solution

The fourth proportional to 189,812.40, 261,930.84 and 104,924 is: 144,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,812.40 : 261,930.84 = 104,924 : x
  2. Step 2: Convert to fraction form
    189,812.40/261,930.84 = 104,924/x
  3. Step 3: Cross multiply
    189,812.40x = 261,930.84 × 104,924
  4. Step 4: Simplify right side
    189,812.40x = 27,482,831,456.16
  5. Step 5: Solve for x
    x = 27,482,831,456.16/189,812.40
  6. Step 6: Final answer
    x = 144,789.44

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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.