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Finding the Fourth Proportional to 64,782.57, 89,398.73 and 36,101.60

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Solution

The fourth proportional to 64,782.57, 89,398.73 and 36,101.60 is: 49,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,782.57 : 89,398.73 = 36,101.60 : x
  2. Step 2: Convert to fraction form
    64,782.57/89,398.73 = 36,101.60/x
  3. Step 3: Cross multiply
    64,782.57x = 89,398.73 × 36,101.60
  4. Step 4: Simplify right side
    64,782.57x = 3,227,436,714.97
  5. Step 5: Solve for x
    x = 3,227,436,714.97/64,782.57
  6. Step 6: Final answer
    x = 49,819.53

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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.