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Finding the Fourth Proportional to 201,839.13, 278,538 and 112,415.13

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Solution

The fourth proportional to 201,839.13, 278,538 and 112,415.13 is: 155,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,839.13 : 278,538 = 112,415.13 : x
  2. Step 2: Convert to fraction form
    201,839.13/278,538 = 112,415.13/x
  3. Step 3: Cross multiply
    201,839.13x = 278,538 × 112,415.13
  4. Step 4: Simplify right side
    201,839.13x = 31,311,885,479.94
  5. Step 5: Solve for x
    x = 31,311,885,479.94/201,839.13
  6. Step 6: Final answer
    x = 155,132.88

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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.