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Finding the Fourth Proportional to 100,068.06, 138,092.78 and 54,745.50

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Solution

The fourth proportional to 100,068.06, 138,092.78 and 54,745.50 is: 75,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,068.06 : 138,092.78 = 54,745.50 : x
  2. Step 2: Convert to fraction form
    100,068.06/138,092.78 = 54,745.50/x
  3. Step 3: Cross multiply
    100,068.06x = 138,092.78 × 54,745.50
  4. Step 4: Simplify right side
    100,068.06x = 7,559,958,287.49
  5. Step 5: Solve for x
    x = 7,559,958,287.49/100,068.06
  6. Step 6: Final answer
    x = 75,548.16

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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.