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Finding the Fourth Proportional to 138,893.50, 191,684.82 and 78,475.24

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Solution

The fourth proportional to 138,893.50, 191,684.82 and 78,475.24 is: 108,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,893.50 : 191,684.82 = 78,475.24 : x
  2. Step 2: Convert to fraction form
    138,893.50/191,684.82 = 78,475.24/x
  3. Step 3: Cross multiply
    138,893.50x = 191,684.82 × 78,475.24
  4. Step 4: Simplify right side
    138,893.50x = 15,042,512,253.86
  5. Step 5: Solve for x
    x = 15,042,512,253.86/138,893.50
  6. Step 6: Final answer
    x = 108,302.49

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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.