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Finding the Fourth Proportional to 69,189.66, 103,784.28 and 21,808.70

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Solution

The fourth proportional to 69,189.66, 103,784.28 and 21,808.70 is: 32,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189.66 : 103,784.28 = 21,808.70 : x
  2. Step 2: Convert to fraction form
    69,189.66/103,784.28 = 21,808.70/x
  3. Step 3: Cross multiply
    69,189.66x = 103,784.28 × 21,808.70
  4. Step 4: Simplify right side
    69,189.66x = 2,263,400,227.24
  5. Step 5: Solve for x
    x = 2,263,400,227.24/69,189.66
  6. Step 6: Final answer
    x = 32,712.98

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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.