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Finding the Fourth Proportional to 72,228, 108,363.60 and 30,678.24

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Solution

The fourth proportional to 72,228, 108,363.60 and 30,678.24 is: 46,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,228 : 108,363.60 = 30,678.24 : x
  2. Step 2: Convert to fraction form
    72,228/108,363.60 = 30,678.24/x
  3. Step 3: Cross multiply
    72,228x = 108,363.60 × 30,678.24
  4. Step 4: Simplify right side
    72,228x = 3,324,404,528.06
  5. Step 5: Solve for x
    x = 3,324,404,528.06/72,228
  6. Step 6: Final answer
    x = 46,026.53

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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.