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Finding the Fourth Proportional to 137,201.48, 205,802.22 and 90,443.42

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Solution

The fourth proportional to 137,201.48, 205,802.22 and 90,443.42 is: 135,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.48 : 205,802.22 = 90,443.42 : x
  2. Step 2: Convert to fraction form
    137,201.48/205,802.22 = 90,443.42/x
  3. Step 3: Cross multiply
    137,201.48x = 205,802.22 × 90,443.42
  4. Step 4: Simplify right side
    137,201.48x = 18,613,455,591.38
  5. Step 5: Solve for x
    x = 18,613,455,591.38/137,201.48
  6. Step 6: Final answer
    x = 135,665.13

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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.