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Finding the Fourth Proportional to 201,506.72, 278,081.60 and 115,464

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Solution

The fourth proportional to 201,506.72, 278,081.60 and 115,464 is: 159,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,506.72 : 278,081.60 = 115,464 : x
  2. Step 2: Convert to fraction form
    201,506.72/278,081.60 = 115,464/x
  3. Step 3: Cross multiply
    201,506.72x = 278,081.60 × 115,464
  4. Step 4: Simplify right side
    201,506.72x = 32,108,413,285.08
  5. Step 5: Solve for x
    x = 32,108,413,285.08/201,506.72
  6. Step 6: Final answer
    x = 159,341.65

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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.