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Finding the Fourth Proportional to 135,692, 187,254.96 and 82,700

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Solution

The fourth proportional to 135,692, 187,254.96 and 82,700 is: 114,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,692 : 187,254.96 = 82,700 : x
  2. Step 2: Convert to fraction form
    135,692/187,254.96 = 82,700/x
  3. Step 3: Cross multiply
    135,692x = 187,254.96 × 82,700
  4. Step 4: Simplify right side
    135,692x = 15,485,985,192
  5. Step 5: Solve for x
    x = 15,485,985,192/135,692
  6. Step 6: Final answer
    x = 114,126

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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.