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Finding the Fourth Proportional to 119,705.66, 165,193.76 and 65,991.59

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Solution

The fourth proportional to 119,705.66, 165,193.76 and 65,991.59 is: 91,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,705.66 : 165,193.76 = 65,991.59 : x
  2. Step 2: Convert to fraction form
    119,705.66/165,193.76 = 65,991.59/x
  3. Step 3: Cross multiply
    119,705.66x = 165,193.76 × 65,991.59
  4. Step 4: Simplify right side
    119,705.66x = 10,901,398,219.49
  5. Step 5: Solve for x
    x = 10,901,398,219.49/119,705.66
  6. Step 6: Final answer
    x = 91,068.36

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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.