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Finding the Fourth Proportional to 128,665.86, 192,991.47 and 38,706.66

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Solution

The fourth proportional to 128,665.86, 192,991.47 and 38,706.66 is: 58,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,665.86 : 192,991.47 = 38,706.66 : x
  2. Step 2: Convert to fraction form
    128,665.86/192,991.47 = 38,706.66/x
  3. Step 3: Cross multiply
    128,665.86x = 192,991.47 × 38,706.66
  4. Step 4: Simplify right side
    128,665.86x = 7,470,055,212.19
  5. Step 5: Solve for x
    x = 7,470,055,212.19/128,665.86
  6. Step 6: Final answer
    x = 58,057.79

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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.