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Finding the Fourth Proportional to 225,342.82, 310,973.19 and 123,374.88

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Solution

The fourth proportional to 225,342.82, 310,973.19 and 123,374.88 is: 170,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,342.82 : 310,973.19 = 123,374.88 : x
  2. Step 2: Convert to fraction form
    225,342.82/310,973.19 = 123,374.88/x
  3. Step 3: Cross multiply
    225,342.82x = 310,973.19 × 123,374.88
  4. Step 4: Simplify right side
    225,342.82x = 38,366,279,999.47
  5. Step 5: Solve for x
    x = 38,366,279,999.47/225,342.82
  6. Step 6: Final answer
    x = 170,257.39

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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.