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Finding the Fourth Proportional to 64,578.60, 96,695.10 and 41,077.80

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Solution

The fourth proportional to 64,578.60, 96,695.10 and 41,077.80 is: 61,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,578.60 : 96,695.10 = 41,077.80 : x
  2. Step 2: Convert to fraction form
    64,578.60/96,695.10 = 41,077.80/x
  3. Step 3: Cross multiply
    64,578.60x = 96,695.10 × 41,077.80
  4. Step 4: Simplify right side
    64,578.60x = 3,972,021,978.78
  5. Step 5: Solve for x
    x = 3,972,021,978.78/64,578.60
  6. Step 6: Final answer
    x = 61,506.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.