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Finding the Fourth Proportional to 201,515, 278,092.32 and 112,091

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Solution

The fourth proportional to 201,515, 278,092.32 and 112,091 is: 154,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,515 : 278,092.32 = 112,091 : x
  2. Step 2: Convert to fraction form
    201,515/278,092.32 = 112,091/x
  3. Step 3: Cross multiply
    201,515x = 278,092.32 × 112,091
  4. Step 4: Simplify right side
    201,515x = 31,171,646,241.12
  5. Step 5: Solve for x
    x = 31,171,646,241.12/201,515
  6. Step 6: Final answer
    x = 154,686.48

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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.