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Finding the Fourth Proportional to 39,989, 55,189.68 and 23,222

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Solution

The fourth proportional to 39,989, 55,189.68 and 23,222 is: 32,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,989 : 55,189.68 = 23,222 : x
  2. Step 2: Convert to fraction form
    39,989/55,189.68 = 23,222/x
  3. Step 3: Cross multiply
    39,989x = 55,189.68 × 23,222
  4. Step 4: Simplify right side
    39,989x = 1,281,614,748.96
  5. Step 5: Solve for x
    x = 1,281,614,748.96/39,989
  6. Step 6: Final answer
    x = 32,049.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.