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Finding the Fourth Proportional to 138,916, 191,704.24 and 75,254.24

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Solution

The fourth proportional to 138,916, 191,704.24 and 75,254.24 is: 103,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,916 : 191,704.24 = 75,254.24 : x
  2. Step 2: Convert to fraction form
    138,916/191,704.24 = 75,254.24/x
  3. Step 3: Cross multiply
    138,916x = 191,704.24 × 75,254.24
  4. Step 4: Simplify right side
    138,916x = 14,426,556,885.98
  5. Step 5: Solve for x
    x = 14,426,556,885.98/138,916
  6. Step 6: Final answer
    x = 103,850.94

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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.