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Finding the Fourth Proportional to 201,856.49, 302,831.63 and 68,737.90

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Solution

The fourth proportional to 201,856.49, 302,831.63 and 68,737.90 is: 103,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.49 : 302,831.63 = 68,737.90 : x
  2. Step 2: Convert to fraction form
    201,856.49/302,831.63 = 68,737.90/x
  3. Step 3: Cross multiply
    201,856.49x = 302,831.63 × 68,737.90
  4. Step 4: Simplify right side
    201,856.49x = 20,816,008,785.62
  5. Step 5: Solve for x
    x = 20,816,008,785.62/201,856.49
  6. Step 6: Final answer
    x = 103,122.81

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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.