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Finding the Fourth Proportional to 64,940, 89,617.84 and 35,132.64

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Solution

The fourth proportional to 64,940, 89,617.84 and 35,132.64 is: 48,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,940 : 89,617.84 = 35,132.64 : x
  2. Step 2: Convert to fraction form
    64,940/89,617.84 = 35,132.64/x
  3. Step 3: Cross multiply
    64,940x = 89,617.84 × 35,132.64
  4. Step 4: Simplify right side
    64,940x = 3,148,511,310.30
  5. Step 5: Solve for x
    x = 3,148,511,310.30/64,940
  6. Step 6: Final answer
    x = 48,483.39

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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.