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Finding the Fourth Proportional to 135,693.95, 187,233.44 and 81,942.98

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Solution

The fourth proportional to 135,693.95, 187,233.44 and 81,942.98 is: 113,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,693.95 : 187,233.44 = 81,942.98 : x
  2. Step 2: Convert to fraction form
    135,693.95/187,233.44 = 81,942.98/x
  3. Step 3: Cross multiply
    135,693.95x = 187,233.44 × 81,942.98
  4. Step 4: Simplify right side
    135,693.95x = 15,342,464,683.37
  5. Step 5: Solve for x
    x = 15,342,464,683.37/135,693.95
  6. Step 6: Final answer
    x = 113,066.69

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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.