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Finding the Fourth Proportional to 100,291.29, 138,422.55 and 57,844.05

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Solution

The fourth proportional to 100,291.29, 138,422.55 and 57,844.05 is: 79,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.29 : 138,422.55 = 57,844.05 : x
  2. Step 2: Convert to fraction form
    100,291.29/138,422.55 = 57,844.05/x
  3. Step 3: Cross multiply
    100,291.29x = 138,422.55 × 57,844.05
  4. Step 4: Simplify right side
    100,291.29x = 8,006,920,903.33
  5. Step 5: Solve for x
    x = 8,006,920,903.33/100,291.29
  6. Step 6: Final answer
    x = 79,836.65

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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.