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Finding the Fourth Proportional to 119,648.38, 165,112.64 and 65,201.03

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Solution

The fourth proportional to 119,648.38, 165,112.64 and 65,201.03 is: 89,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,648.38 : 165,112.64 = 65,201.03 : x
  2. Step 2: Convert to fraction form
    119,648.38/165,112.64 = 65,201.03/x
  3. Step 3: Cross multiply
    119,648.38x = 165,112.64 × 65,201.03
  4. Step 4: Simplify right side
    119,648.38x = 10,765,513,368.46
  5. Step 5: Solve for x
    x = 10,765,513,368.46/119,648.38
  6. Step 6: Final answer
    x = 89,976.25

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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.