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Finding the Fourth Proportional to 140,663.96, 210,989.45 and 40,822.14

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Solution

The fourth proportional to 140,663.96, 210,989.45 and 40,822.14 is: 61,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,663.96 : 210,989.45 = 40,822.14 : x
  2. Step 2: Convert to fraction form
    140,663.96/210,989.45 = 40,822.14/x
  3. Step 3: Cross multiply
    140,663.96x = 210,989.45 × 40,822.14
  4. Step 4: Simplify right side
    140,663.96x = 8,613,040,662.31
  5. Step 5: Solve for x
    x = 8,613,040,662.31/140,663.96
  6. Step 6: Final answer
    x = 61,231.33

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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.