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Finding the Fourth Proportional to 208,843.23, 287,985.74 and 123,943.89

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Solution

The fourth proportional to 208,843.23, 287,985.74 and 123,943.89 is: 170,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.23 : 287,985.74 = 123,943.89 : x
  2. Step 2: Convert to fraction form
    208,843.23/287,985.74 = 123,943.89/x
  3. Step 3: Cross multiply
    208,843.23x = 287,985.74 × 123,943.89
  4. Step 4: Simplify right side
    208,843.23x = 35,694,072,260.41
  5. Step 5: Solve for x
    x = 35,694,072,260.41/208,843.23
  6. Step 6: Final answer
    x = 170,913.24

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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.