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Finding the Fourth Proportional to 138,706.64, 208,091.20 and 43,942.56

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Solution

The fourth proportional to 138,706.64, 208,091.20 and 43,942.56 is: 65,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.64 : 208,091.20 = 43,942.56 : x
  2. Step 2: Convert to fraction form
    138,706.64/208,091.20 = 43,942.56/x
  3. Step 3: Cross multiply
    138,706.64x = 208,091.20 × 43,942.56
  4. Step 4: Simplify right side
    138,706.64x = 9,144,060,041.47
  5. Step 5: Solve for x
    x = 9,144,060,041.47/138,706.64
  6. Step 6: Final answer
    x = 65,923.74

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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.