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Finding the Fourth Proportional to 137,119.38, 205,666.11 and 43,608.66

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Solution

The fourth proportional to 137,119.38, 205,666.11 and 43,608.66 is: 65,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,119.38 : 205,666.11 = 43,608.66 : x
  2. Step 2: Convert to fraction form
    137,119.38/205,666.11 = 43,608.66/x
  3. Step 3: Cross multiply
    137,119.38x = 205,666.11 × 43,608.66
  4. Step 4: Simplify right side
    137,119.38x = 8,968,823,464.51
  5. Step 5: Solve for x
    x = 8,968,823,464.51/137,119.38
  6. Step 6: Final answer
    x = 65,408.87

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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.