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Finding the Fourth Proportional to 30,152, 45,279.84 and 27,404.48

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Solution

The fourth proportional to 30,152, 45,279.84 and 27,404.48 is: 41,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152 : 45,279.84 = 27,404.48 : x
  2. Step 2: Convert to fraction form
    30,152/45,279.84 = 27,404.48/x
  3. Step 3: Cross multiply
    30,152x = 45,279.84 × 27,404.48
  4. Step 4: Simplify right side
    30,152x = 1,240,870,469.68
  5. Step 5: Solve for x
    x = 1,240,870,469.68/30,152
  6. Step 6: Final answer
    x = 41,153.84

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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.