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Finding the Fourth Proportional to 64,135.70, 96,205.20 and 30,393.80

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Solution

The fourth proportional to 64,135.70, 96,205.20 and 30,393.80 is: 45,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,135.70 : 96,205.20 = 30,393.80 : x
  2. Step 2: Convert to fraction form
    64,135.70/96,205.20 = 30,393.80/x
  3. Step 3: Cross multiply
    64,135.70x = 96,205.20 × 30,393.80
  4. Step 4: Simplify right side
    64,135.70x = 2,924,041,607.76
  5. Step 5: Solve for x
    x = 2,924,041,607.76/64,135.70
  6. Step 6: Final answer
    x = 45,591.48

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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.