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Finding the Fourth Proportional to 39,942, 59,832.79 and 19,891.08

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Solution

The fourth proportional to 39,942, 59,832.79 and 19,891.08 is: 29,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,942 : 59,832.79 = 19,891.08 : x
  2. Step 2: Convert to fraction form
    39,942/59,832.79 = 19,891.08/x
  3. Step 3: Cross multiply
    39,942x = 59,832.79 × 19,891.08
  4. Step 4: Simplify right side
    39,942x = 1,190,138,812.51
  5. Step 5: Solve for x
    x = 1,190,138,812.51/39,942
  6. Step 6: Final answer
    x = 29,796.68

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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.