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Finding the Fourth Proportional to 100,066.50, 138,092.31 and 54,745.02

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Solution

The fourth proportional to 100,066.50, 138,092.31 and 54,745.02 is: 75,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,066.50 : 138,092.31 = 54,745.02 : x
  2. Step 2: Convert to fraction form
    100,066.50/138,092.31 = 54,745.02/x
  3. Step 3: Cross multiply
    100,066.50x = 138,092.31 × 54,745.02
  4. Step 4: Simplify right side
    100,066.50x = 7,559,866,272.80
  5. Step 5: Solve for x
    x = 7,559,866,272.80/100,066.50
  6. Step 6: Final answer
    x = 75,548.42

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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.