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Finding the Fourth Proportional to 201,774.72, 278,440.04 and 115,671.96

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Solution

The fourth proportional to 201,774.72, 278,440.04 and 115,671.96 is: 159,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,774.72 : 278,440.04 = 115,671.96 : x
  2. Step 2: Convert to fraction form
    201,774.72/278,440.04 = 115,671.96/x
  3. Step 3: Cross multiply
    201,774.72x = 278,440.04 × 115,671.96
  4. Step 4: Simplify right side
    201,774.72x = 32,207,705,169.28
  5. Step 5: Solve for x
    x = 32,207,705,169.28/201,774.72
  6. Step 6: Final answer
    x = 159,622.10

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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.