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Finding the Fourth Proportional to 69,202.50, 103,811.04 and 31,756.20

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Solution

The fourth proportional to 69,202.50, 103,811.04 and 31,756.20 is: 47,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.50 : 103,811.04 = 31,756.20 : x
  2. Step 2: Convert to fraction form
    69,202.50/103,811.04 = 31,756.20/x
  3. Step 3: Cross multiply
    69,202.50x = 103,811.04 × 31,756.20
  4. Step 4: Simplify right side
    69,202.50x = 3,296,644,148.45
  5. Step 5: Solve for x
    x = 3,296,644,148.45/69,202.50
  6. Step 6: Final answer
    x = 47,637.65

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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.