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Finding the Fourth Proportional to 119,379.66, 164,741.24 and 65,663.50

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Solution

The fourth proportional to 119,379.66, 164,741.24 and 65,663.50 is: 90,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,379.66 : 164,741.24 = 65,663.50 : x
  2. Step 2: Convert to fraction form
    119,379.66/164,741.24 = 65,663.50/x
  3. Step 3: Cross multiply
    119,379.66x = 164,741.24 × 65,663.50
  4. Step 4: Simplify right side
    119,379.66x = 10,817,485,589.03
  5. Step 5: Solve for x
    x = 10,817,485,589.03/119,379.66
  6. Step 6: Final answer
    x = 90,614.14

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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.