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Finding the Fourth Proportional to 172,226.81, 258,503.79 and 105,796.69

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Solution

The fourth proportional to 172,226.81, 258,503.79 and 105,796.69 is: 158,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,226.81 : 258,503.79 = 105,796.69 : x
  2. Step 2: Convert to fraction form
    172,226.81/258,503.79 = 105,796.69/x
  3. Step 3: Cross multiply
    172,226.81x = 258,503.79 × 105,796.69
  4. Step 4: Simplify right side
    172,226.81x = 27,348,845,334.46
  5. Step 5: Solve for x
    x = 27,348,845,334.46/172,226.81
  6. Step 6: Final answer
    x = 158,795.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.