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Finding the Fourth Proportional to 201,822, 278,523 and 112,398

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Solution

The fourth proportional to 201,822, 278,523 and 112,398 is: 155,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,822 : 278,523 = 112,398 : x
  2. Step 2: Convert to fraction form
    201,822/278,523 = 112,398/x
  3. Step 3: Cross multiply
    201,822x = 278,523 × 112,398
  4. Step 4: Simplify right side
    201,822x = 31,305,428,154
  5. Step 5: Solve for x
    x = 31,305,428,154/201,822
  6. Step 6: Final answer
    x = 155,114.05

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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.