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Finding the Fourth Proportional to 201,858, 278,564.16 and 112,434

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Solution

The fourth proportional to 201,858, 278,564.16 and 112,434 is: 155,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858 : 278,564.16 = 112,434 : x
  2. Step 2: Convert to fraction form
    201,858/278,564.16 = 112,434/x
  3. Step 3: Cross multiply
    201,858x = 278,564.16 × 112,434
  4. Step 4: Simplify right side
    201,858x = 31,320,082,765.44
  5. Step 5: Solve for x
    x = 31,320,082,765.44/201,858
  6. Step 6: Final answer
    x = 155,158.99

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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.