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Finding the Fourth Proportional to 64,906.40, 97,385.20 and 25,456.80

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Solution

The fourth proportional to 64,906.40, 97,385.20 and 25,456.80 is: 38,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,906.40 : 97,385.20 = 25,456.80 : x
  2. Step 2: Convert to fraction form
    64,906.40/97,385.20 = 25,456.80/x
  3. Step 3: Cross multiply
    64,906.40x = 97,385.20 × 25,456.80
  4. Step 4: Simplify right side
    64,906.40x = 2,479,115,559.36
  5. Step 5: Solve for x
    x = 2,479,115,559.36/64,906.40
  6. Step 6: Final answer
    x = 38,195.24

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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.