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Finding the Fourth Proportional to 137,410.50, 189,626.49 and 77,794.50

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Solution

The fourth proportional to 137,410.50, 189,626.49 and 77,794.50 is: 107,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,410.50 : 189,626.49 = 77,794.50 : x
  2. Step 2: Convert to fraction form
    137,410.50/189,626.49 = 77,794.50/x
  3. Step 3: Cross multiply
    137,410.50x = 189,626.49 × 77,794.50
  4. Step 4: Simplify right side
    137,410.50x = 14,751,897,976.31
  5. Step 5: Solve for x
    x = 14,751,897,976.31/137,410.50
  6. Step 6: Final answer
    x = 107,356.41

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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.