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Finding the Fourth Proportional to 201,537, 278,121.33 and 112,113

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Solution

The fourth proportional to 201,537, 278,121.33 and 112,113 is: 154,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,537 : 278,121.33 = 112,113 : x
  2. Step 2: Convert to fraction form
    201,537/278,121.33 = 112,113/x
  3. Step 3: Cross multiply
    201,537x = 278,121.33 × 112,113
  4. Step 4: Simplify right side
    201,537x = 31,181,016,670.29
  5. Step 5: Solve for x
    x = 31,181,016,670.29/201,537
  6. Step 6: Final answer
    x = 154,716.09

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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.