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Finding the Fourth Proportional to 101,282.68, 151,831.14 and 38,906.20

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Solution

The fourth proportional to 101,282.68, 151,831.14 and 38,906.20 is: 58,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,282.68 : 151,831.14 = 38,906.20 : x
  2. Step 2: Convert to fraction form
    101,282.68/151,831.14 = 38,906.20/x
  3. Step 3: Cross multiply
    101,282.68x = 151,831.14 × 38,906.20
  4. Step 4: Simplify right side
    101,282.68x = 5,907,172,961.81
  5. Step 5: Solve for x
    x = 5,907,172,961.81/101,282.68
  6. Step 6: Final answer
    x = 58,323.62

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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.