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Finding the Fourth Proportional to 79,102.98, 118,655.69 and 31,722.23

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Solution

The fourth proportional to 79,102.98, 118,655.69 and 31,722.23 is: 47,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,102.98 : 118,655.69 = 31,722.23 : x
  2. Step 2: Convert to fraction form
    79,102.98/118,655.69 = 31,722.23/x
  3. Step 3: Cross multiply
    79,102.98x = 118,655.69 × 31,722.23
  4. Step 4: Simplify right side
    79,102.98x = 3,764,023,227.02
  5. Step 5: Solve for x
    x = 3,764,023,227.02/79,102.98
  6. Step 6: Final answer
    x = 47,583.84

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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.