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Finding the Fourth Proportional to 100,702.02, 138,969.68 and 54,761.82

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Solution

The fourth proportional to 100,702.02, 138,969.68 and 54,761.82 is: 75,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.02 : 138,969.68 = 54,761.82 : x
  2. Step 2: Convert to fraction form
    100,702.02/138,969.68 = 54,761.82/x
  3. Step 3: Cross multiply
    100,702.02x = 138,969.68 × 54,761.82
  4. Step 4: Simplify right side
    100,702.02x = 7,610,232,601.62
  5. Step 5: Solve for x
    x = 7,610,232,601.62/100,702.02
  6. Step 6: Final answer
    x = 75,571.80

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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.