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Finding the Fourth Proportional to 119,663.42, 165,128.10 and 65,945.44

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Solution

The fourth proportional to 119,663.42, 165,128.10 and 65,945.44 is: 91,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,663.42 : 165,128.10 = 65,945.44 : x
  2. Step 2: Convert to fraction form
    119,663.42/165,128.10 = 65,945.44/x
  3. Step 3: Cross multiply
    119,663.42x = 165,128.10 × 65,945.44
  4. Step 4: Simplify right side
    119,663.42x = 10,889,444,385.22
  5. Step 5: Solve for x
    x = 10,889,444,385.22/119,663.42
  6. Step 6: Final answer
    x = 91,000.61

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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.