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Finding the Fourth Proportional to 208,490.54, 312,617.29 and 82,062.24

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Solution

The fourth proportional to 208,490.54, 312,617.29 and 82,062.24 is: 123,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,490.54 : 312,617.29 = 82,062.24 : x
  2. Step 2: Convert to fraction form
    208,490.54/312,617.29 = 82,062.24/x
  3. Step 3: Cross multiply
    208,490.54x = 312,617.29 × 82,062.24
  4. Step 4: Simplify right side
    208,490.54x = 25,654,075,080.13
  5. Step 5: Solve for x
    x = 25,654,075,080.13/208,490.54
  6. Step 6: Final answer
    x = 123,046.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.