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Finding the Fourth Proportional to 149,129.06, 205,798.10 and 82,061.06

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Solution

The fourth proportional to 149,129.06, 205,798.10 and 82,061.06 is: 113,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.06 : 205,798.10 = 82,061.06 : x
  2. Step 2: Convert to fraction form
    149,129.06/205,798.10 = 82,061.06/x
  3. Step 3: Cross multiply
    149,129.06x = 205,798.10 × 82,061.06
  4. Step 4: Simplify right side
    149,129.06x = 16,888,010,231.99
  5. Step 5: Solve for x
    x = 16,888,010,231.99/149,129.06
  6. Step 6: Final answer
    x = 113,244.26

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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.