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Finding the Fourth Proportional to 137,969.69, 206,781.48 and 58,991.21

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Solution

The fourth proportional to 137,969.69, 206,781.48 and 58,991.21 is: 88,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969.69 : 206,781.48 = 58,991.21 : x
  2. Step 2: Convert to fraction form
    137,969.69/206,781.48 = 58,991.21/x
  3. Step 3: Cross multiply
    137,969.69x = 206,781.48 × 58,991.21
  4. Step 4: Simplify right side
    137,969.69x = 12,198,289,710.79
  5. Step 5: Solve for x
    x = 12,198,289,710.79/137,969.69
  6. Step 6: Final answer
    x = 88,412.82

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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.