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Finding the Fourth Proportional to 189,712.80, 261,801.36 and 104,828.04

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Solution

The fourth proportional to 189,712.80, 261,801.36 and 104,828.04 is: 144,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,712.80 : 261,801.36 = 104,828.04 : x
  2. Step 2: Convert to fraction form
    189,712.80/261,801.36 = 104,828.04/x
  3. Step 3: Cross multiply
    189,712.80x = 261,801.36 × 104,828.04
  4. Step 4: Simplify right side
    189,712.80x = 27,444,123,438.13
  5. Step 5: Solve for x
    x = 27,444,123,438.13/189,712.80
  6. Step 6: Final answer
    x = 144,661.42

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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.