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Finding the Fourth Proportional to 119,705.33, 165,193.85 and 65,989.16

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Solution

The fourth proportional to 119,705.33, 165,193.85 and 65,989.16 is: 91,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,705.33 : 165,193.85 = 65,989.16 : x
  2. Step 2: Convert to fraction form
    119,705.33/165,193.85 = 65,989.16/x
  3. Step 3: Cross multiply
    119,705.33x = 165,193.85 × 65,989.16
  4. Step 4: Simplify right side
    119,705.33x = 10,901,003,398.67
  5. Step 5: Solve for x
    x = 10,901,003,398.67/119,705.33
  6. Step 6: Final answer
    x = 91,065.32

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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.