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Finding the Fourth Proportional to 138,383.65, 206,817.26 and 101,022.40

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Solution

The fourth proportional to 138,383.65, 206,817.26 and 101,022.40 is: 150,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,383.65 : 206,817.26 = 101,022.40 : x
  2. Step 2: Convert to fraction form
    138,383.65/206,817.26 = 101,022.40/x
  3. Step 3: Cross multiply
    138,383.65x = 206,817.26 × 101,022.40
  4. Step 4: Simplify right side
    138,383.65x = 20,893,175,966.62
  5. Step 5: Solve for x
    x = 20,893,175,966.62/138,383.65
  6. Step 6: Final answer
    x = 150,980.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.