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Finding the Fourth Proportional to 137,722.54, 190,060.89 and 77,296.94

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Solution

The fourth proportional to 137,722.54, 190,060.89 and 77,296.94 is: 106,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722.54 : 190,060.89 = 77,296.94 : x
  2. Step 2: Convert to fraction form
    137,722.54/190,060.89 = 77,296.94/x
  3. Step 3: Cross multiply
    137,722.54x = 190,060.89 × 77,296.94
  4. Step 4: Simplify right side
    137,722.54x = 14,691,125,210.68
  5. Step 5: Solve for x
    x = 14,691,125,210.68/137,722.54
  6. Step 6: Final answer
    x = 106,671.90

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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.