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Finding the Fourth Proportional to 65,146.88, 89,906.68 and 36,466

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Solution

The fourth proportional to 65,146.88, 89,906.68 and 36,466 is: 50,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.88 : 89,906.68 = 36,466 : x
  2. Step 2: Convert to fraction form
    65,146.88/89,906.68 = 36,466/x
  3. Step 3: Cross multiply
    65,146.88x = 89,906.68 × 36,466
  4. Step 4: Simplify right side
    65,146.88x = 3,278,536,992.88
  5. Step 5: Solve for x
    x = 3,278,536,992.88/65,146.88
  6. Step 6: Final answer
    x = 50,325.31

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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.