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Finding the Fourth Proportional to 138,651.78, 191,339.42 and 74,989.56

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Solution

The fourth proportional to 138,651.78, 191,339.42 and 74,989.56 is: 103,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,651.78 : 191,339.42 = 74,989.56 : x
  2. Step 2: Convert to fraction form
    138,651.78/191,339.42 = 74,989.56/x
  3. Step 3: Cross multiply
    138,651.78x = 191,339.42 × 74,989.56
  4. Step 4: Simplify right side
    138,651.78x = 14,348,458,916.46
  5. Step 5: Solve for x
    x = 14,348,458,916.46/138,651.78
  6. Step 6: Final answer
    x = 103,485.57

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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.