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Finding the Fourth Proportional to 119,549.10, 164,978.94 and 65,835.78

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Solution

The fourth proportional to 119,549.10, 164,978.94 and 65,835.78 is: 90,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,549.10 : 164,978.94 = 65,835.78 : x
  2. Step 2: Convert to fraction form
    119,549.10/164,978.94 = 65,835.78/x
  3. Step 3: Cross multiply
    119,549.10x = 164,978.94 × 65,835.78
  4. Step 4: Simplify right side
    119,549.10x = 10,861,517,198.47
  5. Step 5: Solve for x
    x = 10,861,517,198.47/119,549.10
  6. Step 6: Final answer
    x = 90,854.03

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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.