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Finding the Fourth Proportional to 149,129.31, 205,798.45 and 82,061.31

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Solution

The fourth proportional to 149,129.31, 205,798.45 and 82,061.31 is: 113,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.31 : 205,798.45 = 82,061.31 : x
  2. Step 2: Convert to fraction form
    149,129.31/205,798.45 = 82,061.31/x
  3. Step 3: Cross multiply
    149,129.31x = 205,798.45 × 82,061.31
  4. Step 4: Simplify right side
    149,129.31x = 16,888,090,402.97
  5. Step 5: Solve for x
    x = 16,888,090,402.97/149,129.31
  6. Step 6: Final answer
    x = 113,244.61

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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.