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Finding the Fourth Proportional to 100,467, 138,646.08 and 55,755

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Solution

The fourth proportional to 100,467, 138,646.08 and 55,755 is: 76,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467 : 138,646.08 = 55,755 : x
  2. Step 2: Convert to fraction form
    100,467/138,646.08 = 55,755/x
  3. Step 3: Cross multiply
    100,467x = 138,646.08 × 55,755
  4. Step 4: Simplify right side
    100,467x = 7,730,212,190.40
  5. Step 5: Solve for x
    x = 7,730,212,190.40/100,467
  6. Step 6: Final answer
    x = 76,942.80

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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.