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Finding the Fourth Proportional to 164,969.52, 227,657.92 and 89,518

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Solution

The fourth proportional to 164,969.52, 227,657.92 and 89,518 is: 123,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969.52 : 227,657.92 = 89,518 : x
  2. Step 2: Convert to fraction form
    164,969.52/227,657.92 = 89,518/x
  3. Step 3: Cross multiply
    164,969.52x = 227,657.92 × 89,518
  4. Step 4: Simplify right side
    164,969.52x = 20,379,481,682.56
  5. Step 5: Solve for x
    x = 20,379,481,682.56/164,969.52
  6. Step 6: Final answer
    x = 123,534.83

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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.