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Finding the Fourth Proportional to 225,184.34, 310,751.72 and 123,208.61

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Solution

The fourth proportional to 225,184.34, 310,751.72 and 123,208.61 is: 170,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,184.34 : 310,751.72 = 123,208.61 : x
  2. Step 2: Convert to fraction form
    225,184.34/310,751.72 = 123,208.61/x
  3. Step 3: Cross multiply
    225,184.34x = 310,751.72 × 123,208.61
  4. Step 4: Simplify right side
    225,184.34x = 38,287,285,306.51
  5. Step 5: Solve for x
    x = 38,287,285,306.51/225,184.34
  6. Step 6: Final answer
    x = 170,026.42

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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.