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Finding the Fourth Proportional to 100,033.62, 138,040.74 and 54,702.60

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Solution

The fourth proportional to 100,033.62, 138,040.74 and 54,702.60 is: 75,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.62 : 138,040.74 = 54,702.60 : x
  2. Step 2: Convert to fraction form
    100,033.62/138,040.74 = 54,702.60/x
  3. Step 3: Cross multiply
    100,033.62x = 138,040.74 × 54,702.60
  4. Step 4: Simplify right side
    100,033.62x = 7,551,187,383.92
  5. Step 5: Solve for x
    x = 7,551,187,383.92/100,033.62
  6. Step 6: Final answer
    x = 75,486.50

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1.5x scale

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.