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Finding the Fourth Proportional to 188,911.43, 283,477.87 and 135,545.90

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Solution

The fourth proportional to 188,911.43, 283,477.87 and 135,545.90 is: 203,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,911.43 : 283,477.87 = 135,545.90 : x
  2. Step 2: Convert to fraction form
    188,911.43/283,477.87 = 135,545.90/x
  3. Step 3: Cross multiply
    188,911.43x = 283,477.87 × 135,545.90
  4. Step 4: Simplify right side
    188,911.43x = 38,424,263,019.23
  5. Step 5: Solve for x
    x = 38,424,263,019.23/188,911.43
  6. Step 6: Final answer
    x = 203,398.30

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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.