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Finding the Fourth Proportional to 225,867, 311,753.10 and 153,392.52

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Solution

The fourth proportional to 225,867, 311,753.10 and 153,392.52 is: 211,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,867 : 311,753.10 = 153,392.52 : x
  2. Step 2: Convert to fraction form
    225,867/311,753.10 = 153,392.52/x
  3. Step 3: Cross multiply
    225,867x = 311,753.10 × 153,392.52
  4. Step 4: Simplify right side
    225,867x = 47,820,593,626.81
  5. Step 5: Solve for x
    x = 47,820,593,626.81/225,867
  6. Step 6: Final answer
    x = 211,720.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.