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Finding the Fourth Proportional to 163,710.80, 225,786.12 and 96,578

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Solution

The fourth proportional to 163,710.80, 225,786.12 and 96,578 is: 133,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,710.80 : 225,786.12 = 96,578 : x
  2. Step 2: Convert to fraction form
    163,710.80/225,786.12 = 96,578/x
  3. Step 3: Cross multiply
    163,710.80x = 225,786.12 × 96,578
  4. Step 4: Simplify right side
    163,710.80x = 21,805,971,897.36
  5. Step 5: Solve for x
    x = 21,805,971,897.36/163,710.80
  6. Step 6: Final answer
    x = 133,198.13

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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.