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Finding the Fourth Proportional to 55,118, 82,677 and 13,565

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Solution

The fourth proportional to 55,118, 82,677 and 13,565 is: 20,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,118 : 82,677 = 13,565 : x
  2. Step 2: Convert to fraction form
    55,118/82,677 = 13,565/x
  3. Step 3: Cross multiply
    55,118x = 82,677 × 13,565
  4. Step 4: Simplify right side
    55,118x = 1,121,513,505
  5. Step 5: Solve for x
    x = 1,121,513,505/55,118
  6. Step 6: Final answer
    x = 20,347.50

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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.