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Finding the Fourth Proportional to 172,874.44, 238,565.84 and 100,292.01

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Solution

The fourth proportional to 172,874.44, 238,565.84 and 100,292.01 is: 138,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,874.44 : 238,565.84 = 100,292.01 : x
  2. Step 2: Convert to fraction form
    172,874.44/238,565.84 = 100,292.01/x
  3. Step 3: Cross multiply
    172,874.44x = 238,565.84 × 100,292.01
  4. Step 4: Simplify right side
    172,874.44x = 23,926,247,610.94
  5. Step 5: Solve for x
    x = 23,926,247,610.94/172,874.44
  6. Step 6: Final answer
    x = 138,402.46

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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.