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Finding the Fourth Proportional to 52,712.40, 79,079.40 and 17,677.20

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Solution

The fourth proportional to 52,712.40, 79,079.40 and 17,677.20 is: 26,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712.40 : 79,079.40 = 17,677.20 : x
  2. Step 2: Convert to fraction form
    52,712.40/79,079.40 = 17,677.20/x
  3. Step 3: Cross multiply
    52,712.40x = 79,079.40 × 17,677.20
  4. Step 4: Simplify right side
    52,712.40x = 1,397,902,369.68
  5. Step 5: Solve for x
    x = 1,397,902,369.68/52,712.40
  6. Step 6: Final answer
    x = 26,519.42

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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.