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Finding the Fourth Proportional to 164,927.70, 247,399.65 and 86,195.70

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Solution

The fourth proportional to 164,927.70, 247,399.65 and 86,195.70 is: 129,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,927.70 : 247,399.65 = 86,195.70 : x
  2. Step 2: Convert to fraction form
    164,927.70/247,399.65 = 86,195.70/x
  3. Step 3: Cross multiply
    164,927.70x = 247,399.65 × 86,195.70
  4. Step 4: Simplify right side
    164,927.70x = 21,324,786,011.51
  5. Step 5: Solve for x
    x = 21,324,786,011.51/164,927.70
  6. Step 6: Final answer
    x = 129,297.78

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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.