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Finding the Fourth Proportional to 150,998.41, 208,379.20 and 83,015.86

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Solution

The fourth proportional to 150,998.41, 208,379.20 and 83,015.86 is: 114,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,998.41 : 208,379.20 = 83,015.86 : x
  2. Step 2: Convert to fraction form
    150,998.41/208,379.20 = 83,015.86/x
  3. Step 3: Cross multiply
    150,998.41x = 208,379.20 × 83,015.86
  4. Step 4: Simplify right side
    150,998.41x = 17,298,777,973.16
  5. Step 5: Solve for x
    x = 17,298,777,973.16/150,998.41
  6. Step 6: Final answer
    x = 114,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.