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Finding the Fourth Proportional to 149,041.36, 205,678.48 and 81,059

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Solution

The fourth proportional to 149,041.36, 205,678.48 and 81,059 is: 111,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,041.36 : 205,678.48 = 81,059 : x
  2. Step 2: Convert to fraction form
    149,041.36/205,678.48 = 81,059/x
  3. Step 3: Cross multiply
    149,041.36x = 205,678.48 × 81,059
  4. Step 4: Simplify right side
    149,041.36x = 16,672,091,910.32
  5. Step 5: Solve for x
    x = 16,672,091,910.32/149,041.36
  6. Step 6: Final answer
    x = 111,862.18

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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.