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Finding the Fourth Proportional to 205,082.82, 282,980.39 and 136,990.58

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Solution

The fourth proportional to 205,082.82, 282,980.39 and 136,990.58 is: 189,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,082.82 : 282,980.39 = 136,990.58 : x
  2. Step 2: Convert to fraction form
    205,082.82/282,980.39 = 136,990.58/x
  3. Step 3: Cross multiply
    205,082.82x = 282,980.39 × 136,990.58
  4. Step 4: Simplify right side
    205,082.82x = 38,765,645,654.87
  5. Step 5: Solve for x
    x = 38,765,645,654.87/205,082.82
  6. Step 6: Final answer
    x = 189,024.34

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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.