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Finding the Fourth Proportional to 138,439.44, 191,042.28 and 78,013.44

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Solution

The fourth proportional to 138,439.44, 191,042.28 and 78,013.44 is: 107,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,439.44 : 191,042.28 = 78,013.44 : x
  2. Step 2: Convert to fraction form
    138,439.44/191,042.28 = 78,013.44/x
  3. Step 3: Cross multiply
    138,439.44x = 191,042.28 × 78,013.44
  4. Step 4: Simplify right side
    138,439.44x = 14,903,865,448.24
  5. Step 5: Solve for x
    x = 14,903,865,448.24/138,439.44
  6. Step 6: Final answer
    x = 107,656.21

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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.