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Finding the Fourth Proportional to 73,138.12, 109,710.94 and 20,551.71

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Solution

The fourth proportional to 73,138.12, 109,710.94 and 20,551.71 is: 30,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.12 : 109,710.94 = 20,551.71 : x
  2. Step 2: Convert to fraction form
    73,138.12/109,710.94 = 20,551.71/x
  3. Step 3: Cross multiply
    73,138.12x = 109,710.94 × 20,551.71
  4. Step 4: Simplify right side
    73,138.12x = 2,254,746,874.15
  5. Step 5: Solve for x
    x = 2,254,746,874.15/73,138.12
  6. Step 6: Final answer
    x = 30,828.61

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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.