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Finding the Fourth Proportional to 225,222, 310,730.88 and 129,726.48

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Solution

The fourth proportional to 225,222, 310,730.88 and 129,726.48 is: 178,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,222 : 310,730.88 = 129,726.48 : x
  2. Step 2: Convert to fraction form
    225,222/310,730.88 = 129,726.48/x
  3. Step 3: Cross multiply
    225,222x = 310,730.88 × 129,726.48
  4. Step 4: Simplify right side
    225,222x = 40,310,023,289.70
  5. Step 5: Solve for x
    x = 40,310,023,289.70/225,222
  6. Step 6: Final answer
    x = 178,979.07

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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.