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Finding the Fourth Proportional to 137,369.97, 205,979.25 and 42,573.87

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Solution

The fourth proportional to 137,369.97, 205,979.25 and 42,573.87 is: 63,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,369.97 : 205,979.25 = 42,573.87 : x
  2. Step 2: Convert to fraction form
    137,369.97/205,979.25 = 42,573.87/x
  3. Step 3: Cross multiply
    137,369.97x = 205,979.25 × 42,573.87
  4. Step 4: Simplify right side
    137,369.97x = 8,769,333,812.20
  5. Step 5: Solve for x
    x = 8,769,333,812.20/137,369.97
  6. Step 6: Final answer
    x = 63,837.34

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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.