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Finding the Fourth Proportional to 135,697.70, 187,238.61 and 81,946.73

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Solution

The fourth proportional to 135,697.70, 187,238.61 and 81,946.73 is: 113,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,697.70 : 187,238.61 = 81,946.73 : x
  2. Step 2: Convert to fraction form
    135,697.70/187,238.61 = 81,946.73/x
  3. Step 3: Cross multiply
    135,697.70x = 187,238.61 × 81,946.73
  4. Step 4: Simplify right side
    135,697.70x = 15,343,590,883.05
  5. Step 5: Solve for x
    x = 15,343,590,883.05/135,697.70
  6. Step 6: Final answer
    x = 113,071.86

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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.