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Finding the Fourth Proportional to 61,141.28, 84,372 and 34,286.72

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Solution

The fourth proportional to 61,141.28, 84,372 and 34,286.72 is: 47,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,141.28 : 84,372 = 34,286.72 : x
  2. Step 2: Convert to fraction form
    61,141.28/84,372 = 34,286.72/x
  3. Step 3: Cross multiply
    61,141.28x = 84,372 × 34,286.72
  4. Step 4: Simplify right side
    61,141.28x = 2,892,839,139.84
  5. Step 5: Solve for x
    x = 2,892,839,139.84/61,141.28
  6. Step 6: Final answer
    x = 47,314.01

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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.