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Finding the Fourth Proportional to 69,269.74, 103,904.60 and 31,861.28

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Solution

The fourth proportional to 69,269.74, 103,904.60 and 31,861.28 is: 47,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,269.74 : 103,904.60 = 31,861.28 : x
  2. Step 2: Convert to fraction form
    69,269.74/103,904.60 = 31,861.28/x
  3. Step 3: Cross multiply
    69,269.74x = 103,904.60 × 31,861.28
  4. Step 4: Simplify right side
    69,269.74x = 3,310,533,173.76
  5. Step 5: Solve for x
    x = 3,310,533,173.76/69,269.74
  6. Step 6: Final answer
    x = 47,791.91

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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.