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Finding the Fourth Proportional to 213,521.82, 294,660.02 and 128,655.29

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Solution

The fourth proportional to 213,521.82, 294,660.02 and 128,655.29 is: 177,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,521.82 : 294,660.02 = 128,655.29 : x
  2. Step 2: Convert to fraction form
    213,521.82/294,660.02 = 128,655.29/x
  3. Step 3: Cross multiply
    213,521.82x = 294,660.02 × 128,655.29
  4. Step 4: Simplify right side
    213,521.82x = 37,909,568,207.93
  5. Step 5: Solve for x
    x = 37,909,568,207.93/213,521.82
  6. Step 6: Final answer
    x = 177,544.24

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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.