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Finding the Fourth Proportional to 172,811.77, 238,480.75 and 100,228.66

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Solution

The fourth proportional to 172,811.77, 238,480.75 and 100,228.66 is: 138,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,811.77 : 238,480.75 = 100,228.66 : x
  2. Step 2: Convert to fraction form
    172,811.77/238,480.75 = 100,228.66/x
  3. Step 3: Cross multiply
    172,811.77x = 238,480.75 × 100,228.66
  4. Step 4: Simplify right side
    172,811.77x = 23,902,605,537.38
  5. Step 5: Solve for x
    x = 23,902,605,537.38/172,811.77
  6. Step 6: Final answer
    x = 138,315.84

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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.