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Finding the Fourth Proportional to 66,408, 91,644.36 and 36,193.20

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Solution

The fourth proportional to 66,408, 91,644.36 and 36,193.20 is: 49,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,408 : 91,644.36 = 36,193.20 : x
  2. Step 2: Convert to fraction form
    66,408/91,644.36 = 36,193.20/x
  3. Step 3: Cross multiply
    66,408x = 91,644.36 × 36,193.20
  4. Step 4: Simplify right side
    66,408x = 3,316,902,650.35
  5. Step 5: Solve for x
    x = 3,316,902,650.35/66,408
  6. Step 6: Final answer
    x = 49,947.34

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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.