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Finding the Fourth Proportional to 233,115.66, 321,696.54 and 131,140.80

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Solution

The fourth proportional to 233,115.66, 321,696.54 and 131,140.80 is: 180,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,115.66 : 321,696.54 = 131,140.80 : x
  2. Step 2: Convert to fraction form
    233,115.66/321,696.54 = 131,140.80/x
  3. Step 3: Cross multiply
    233,115.66x = 321,696.54 × 131,140.80
  4. Step 4: Simplify right side
    233,115.66x = 42,187,541,612.83
  5. Step 5: Solve for x
    x = 42,187,541,612.83/233,115.66
  6. Step 6: Final answer
    x = 180,972.58

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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.