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Finding the Fourth Proportional to 45,066.80, 67,601.10 and 13,902

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Solution

The fourth proportional to 45,066.80, 67,601.10 and 13,902 is: 20,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,066.80 : 67,601.10 = 13,902 : x
  2. Step 2: Convert to fraction form
    45,066.80/67,601.10 = 13,902/x
  3. Step 3: Cross multiply
    45,066.80x = 67,601.10 × 13,902
  4. Step 4: Simplify right side
    45,066.80x = 939,790,492.20
  5. Step 5: Solve for x
    x = 939,790,492.20/45,066.80
  6. Step 6: Final answer
    x = 20,853.28

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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.