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Finding the Fourth Proportional to 201,816, 278,514.72 and 112,392

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Solution

The fourth proportional to 201,816, 278,514.72 and 112,392 is: 155,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816 : 278,514.72 = 112,392 : x
  2. Step 2: Convert to fraction form
    201,816/278,514.72 = 112,392/x
  3. Step 3: Cross multiply
    201,816x = 278,514.72 × 112,392
  4. Step 4: Simplify right side
    201,816x = 31,302,826,410.24
  5. Step 5: Solve for x
    x = 31,302,826,410.24/201,816
  6. Step 6: Final answer
    x = 155,105.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.