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Finding the Fourth Proportional to 148,959.56, 205,542.80 and 87,669.31

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Solution

The fourth proportional to 148,959.56, 205,542.80 and 87,669.31 is: 120,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,959.56 : 205,542.80 = 87,669.31 : x
  2. Step 2: Convert to fraction form
    148,959.56/205,542.80 = 87,669.31/x
  3. Step 3: Cross multiply
    148,959.56x = 205,542.80 × 87,669.31
  4. Step 4: Simplify right side
    148,959.56x = 18,019,796,161.36
  5. Step 5: Solve for x
    x = 18,019,796,161.36/148,959.56
  6. Step 6: Final answer
    x = 120,971.06

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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.