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Finding the Fourth Proportional to 69,200.50, 103,808.04 and 31,754.20

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Solution

The fourth proportional to 69,200.50, 103,808.04 and 31,754.20 is: 47,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,200.50 : 103,808.04 = 31,754.20 : x
  2. Step 2: Convert to fraction form
    69,200.50/103,808.04 = 31,754.20/x
  3. Step 3: Cross multiply
    69,200.50x = 103,808.04 × 31,754.20
  4. Step 4: Simplify right side
    69,200.50x = 3,296,341,263.77
  5. Step 5: Solve for x
    x = 3,296,341,263.77/69,200.50
  6. Step 6: Final answer
    x = 47,634.65

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