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Finding the Fourth Proportional to 138,408.87, 191,004.24 and 74,746.68

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Solution

The fourth proportional to 138,408.87, 191,004.24 and 74,746.68 is: 103,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408.87 : 191,004.24 = 74,746.68 : x
  2. Step 2: Convert to fraction form
    138,408.87/191,004.24 = 74,746.68/x
  3. Step 3: Cross multiply
    138,408.87x = 191,004.24 × 74,746.68
  4. Step 4: Simplify right side
    138,408.87x = 14,276,932,805.92
  5. Step 5: Solve for x
    x = 14,276,932,805.92/138,408.87
  6. Step 6: Final answer
    x = 103,150.42

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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.