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Finding the Fourth Proportional to 100,508, 150,831.12 and 34,844

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Solution

The fourth proportional to 100,508, 150,831.12 and 34,844 is: 52,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,508 : 150,831.12 = 34,844 : x
  2. Step 2: Convert to fraction form
    100,508/150,831.12 = 34,844/x
  3. Step 3: Cross multiply
    100,508x = 150,831.12 × 34,844
  4. Step 4: Simplify right side
    100,508x = 5,255,559,545.28
  5. Step 5: Solve for x
    x = 5,255,559,545.28/100,508
  6. Step 6: Final answer
    x = 52,289.96

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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.