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Finding the Fourth Proportional to 135,592, 187,116.96 and 82,600

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Solution

The fourth proportional to 135,592, 187,116.96 and 82,600 is: 113,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,592 : 187,116.96 = 82,600 : x
  2. Step 2: Convert to fraction form
    135,592/187,116.96 = 82,600/x
  3. Step 3: Cross multiply
    135,592x = 187,116.96 × 82,600
  4. Step 4: Simplify right side
    135,592x = 15,455,860,896
  5. Step 5: Solve for x
    x = 15,455,860,896/135,592
  6. Step 6: Final answer
    x = 113,988

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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.