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Finding the Fourth Proportional to 201,820, 278,520.24 and 112,396

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Solution

The fourth proportional to 201,820, 278,520.24 and 112,396 is: 155,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,820 : 278,520.24 = 112,396 : x
  2. Step 2: Convert to fraction form
    201,820/278,520.24 = 112,396/x
  3. Step 3: Cross multiply
    201,820x = 278,520.24 × 112,396
  4. Step 4: Simplify right side
    201,820x = 31,304,560,895.04
  5. Step 5: Solve for x
    x = 31,304,560,895.04/201,820
  6. Step 6: Final answer
    x = 155,111.29

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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.