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Finding the Fourth Proportional to 69,203, 103,811.79 and 31,756.70

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Solution

The fourth proportional to 69,203, 103,811.79 and 31,756.70 is: 47,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,203 : 103,811.79 = 31,756.70 : x
  2. Step 2: Convert to fraction form
    69,203/103,811.79 = 31,756.70/x
  3. Step 3: Cross multiply
    69,203x = 103,811.79 × 31,756.70
  4. Step 4: Simplify right side
    69,203x = 3,296,719,871.49
  5. Step 5: Solve for x
    x = 3,296,719,871.49/69,203
  6. Step 6: Final answer
    x = 47,638.40

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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.