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Finding the Fourth Proportional to 164,790, 247,097.52 and 75,997.80

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Solution

The fourth proportional to 164,790, 247,097.52 and 75,997.80 is: 113,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790 : 247,097.52 = 75,997.80 : x
  2. Step 2: Convert to fraction form
    164,790/247,097.52 = 75,997.80/x
  3. Step 3: Cross multiply
    164,790x = 247,097.52 × 75,997.80
  4. Step 4: Simplify right side
    164,790x = 18,778,867,905.46
  5. Step 5: Solve for x
    x = 18,778,867,905.46/164,790
  6. Step 6: Final answer
    x = 113,956.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.