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Finding the Fourth Proportional to 225,734.64, 311,509.28 and 123,760.32

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Solution

The fourth proportional to 225,734.64, 311,509.28 and 123,760.32 is: 170,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,734.64 : 311,509.28 = 123,760.32 : x
  2. Step 2: Convert to fraction form
    225,734.64/311,509.28 = 123,760.32/x
  3. Step 3: Cross multiply
    225,734.64x = 311,509.28 × 123,760.32
  4. Step 4: Simplify right side
    225,734.64x = 38,552,488,175.77
  5. Step 5: Solve for x
    x = 38,552,488,175.77/225,734.64
  6. Step 6: Final answer
    x = 170,786.76

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1.5x scale

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.