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Finding the Fourth Proportional to 137,201.98, 205,802.97 and 90,443.92

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Solution

The fourth proportional to 137,201.98, 205,802.97 and 90,443.92 is: 135,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.98 : 205,802.97 = 90,443.92 : x
  2. Step 2: Convert to fraction form
    137,201.98/205,802.97 = 90,443.92/x
  3. Step 3: Cross multiply
    137,201.98x = 205,802.97 × 90,443.92
  4. Step 4: Simplify right side
    137,201.98x = 18,613,627,354.44
  5. Step 5: Solve for x
    x = 18,613,627,354.44/137,201.98
  6. Step 6: Final answer
    x = 135,665.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.