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Finding the Fourth Proportional to 100,531.94, 138,745.13 and 57,515.42

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Solution

The fourth proportional to 100,531.94, 138,745.13 and 57,515.42 is: 79,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,531.94 : 138,745.13 = 57,515.42 : x
  2. Step 2: Convert to fraction form
    100,531.94/138,745.13 = 57,515.42/x
  3. Step 3: Cross multiply
    100,531.94x = 138,745.13 × 57,515.42
  4. Step 4: Simplify right side
    100,531.94x = 7,979,983,443.60
  5. Step 5: Solve for x
    x = 7,979,983,443.60/100,531.94
  6. Step 6: Final answer
    x = 79,377.60

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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.