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Finding the Fourth Proportional to 201,828, 278,058.96 and 159,371.04

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Solution

The fourth proportional to 201,828, 278,058.96 and 159,371.04 is: 219,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,828 : 278,058.96 = 159,371.04 : x
  2. Step 2: Convert to fraction form
    201,828/278,058.96 = 159,371.04/x
  3. Step 3: Cross multiply
    201,828x = 278,058.96 × 159,371.04
  4. Step 4: Simplify right side
    201,828x = 44,314,545,636.52
  5. Step 5: Solve for x
    x = 44,314,545,636.52/201,828
  6. Step 6: Final answer
    x = 219,565.90

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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.