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Finding the Fourth Proportional to 201,508.17, 278,121 and 115,524.87

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Solution

The fourth proportional to 201,508.17, 278,121 and 115,524.87 is: 159,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,508.17 : 278,121 = 115,524.87 : x
  2. Step 2: Convert to fraction form
    201,508.17/278,121 = 115,524.87/x
  3. Step 3: Cross multiply
    201,508.17x = 278,121 × 115,524.87
  4. Step 4: Simplify right side
    201,508.17x = 32,129,892,369.27
  5. Step 5: Solve for x
    x = 32,129,892,369.27/201,508.17
  6. Step 6: Final answer
    x = 159,447.10

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1.5x scale

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.