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Finding the Fourth Proportional to 135,417.84, 204,058 and 112,245.88

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Solution

The fourth proportional to 135,417.84, 204,058 and 112,245.88 is: 169,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,417.84 : 204,058 = 112,245.88 : x
  2. Step 2: Convert to fraction form
    135,417.84/204,058 = 112,245.88/x
  3. Step 3: Cross multiply
    135,417.84x = 204,058 × 112,245.88
  4. Step 4: Simplify right side
    135,417.84x = 22,904,669,781.04
  5. Step 5: Solve for x
    x = 22,904,669,781.04/135,417.84
  6. Step 6: Final answer
    x = 169,140.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.