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Finding the Fourth Proportional to 69,122.81, 103,684.12 and 21,742.07

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Solution

The fourth proportional to 69,122.81, 103,684.12 and 21,742.07 is: 32,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,122.81 : 103,684.12 = 21,742.07 : x
  2. Step 2: Convert to fraction form
    69,122.81/103,684.12 = 21,742.07/x
  3. Step 3: Cross multiply
    69,122.81x = 103,684.12 × 21,742.07
  4. Step 4: Simplify right side
    69,122.81x = 2,254,306,822.15
  5. Step 5: Solve for x
    x = 2,254,306,822.15/69,122.81
  6. Step 6: Final answer
    x = 32,613.07

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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.