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Finding the Fourth Proportional to 164,965.81, 247,399.32 and 86,036.98

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Solution

The fourth proportional to 164,965.81, 247,399.32 and 86,036.98 is: 129,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,965.81 : 247,399.32 = 86,036.98 : x
  2. Step 2: Convert to fraction form
    164,965.81/247,399.32 = 86,036.98/x
  3. Step 3: Cross multiply
    164,965.81x = 247,399.32 × 86,036.98
  4. Step 4: Simplify right side
    164,965.81x = 21,285,490,346.85
  5. Step 5: Solve for x
    x = 21,285,490,346.85/164,965.81
  6. Step 6: Final answer
    x = 129,029.71

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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.