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Finding the Fourth Proportional to 78,635.70, 117,952.20 and 19,471.41

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Solution

The fourth proportional to 78,635.70, 117,952.20 and 19,471.41 is: 29,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,635.70 : 117,952.20 = 19,471.41 : x
  2. Step 2: Convert to fraction form
    78,635.70/117,952.20 = 19,471.41/x
  3. Step 3: Cross multiply
    78,635.70x = 117,952.20 × 19,471.41
  4. Step 4: Simplify right side
    78,635.70x = 2,296,695,646.60
  5. Step 5: Solve for x
    x = 2,296,695,646.60/78,635.70
  6. Step 6: Final answer
    x = 29,206.78

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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.