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Finding the Fourth Proportional to 102,906.93, 154,366.47 and 39,727.47

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Solution

The fourth proportional to 102,906.93, 154,366.47 and 39,727.47 is: 59,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.93 : 154,366.47 = 39,727.47 : x
  2. Step 2: Convert to fraction form
    102,906.93/154,366.47 = 39,727.47/x
  3. Step 3: Cross multiply
    102,906.93x = 154,366.47 × 39,727.47
  4. Step 4: Simplify right side
    102,906.93x = 6,132,589,305.93
  5. Step 5: Solve for x
    x = 6,132,589,305.93/102,906.93
  6. Step 6: Final answer
    x = 59,593.55

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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.