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Finding the Fourth Proportional to 100,508, 138,702.97 and 55,190.63

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Solution

The fourth proportional to 100,508, 138,702.97 and 55,190.63 is: 76,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,508 : 138,702.97 = 55,190.63 : x
  2. Step 2: Convert to fraction form
    100,508/138,702.97 = 55,190.63/x
  3. Step 3: Cross multiply
    100,508x = 138,702.97 × 55,190.63
  4. Step 4: Simplify right side
    100,508x = 7,655,104,297.17
  5. Step 5: Solve for x
    x = 7,655,104,297.17/100,508
  6. Step 6: Final answer
    x = 76,164.13

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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.