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Finding the Fourth Proportional to 119,705.54, 165,186.24 and 65,987.78

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Solution

The fourth proportional to 119,705.54, 165,186.24 and 65,987.78 is: 91,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,705.54 : 165,186.24 = 65,987.78 : x
  2. Step 2: Convert to fraction form
    119,705.54/165,186.24 = 65,987.78/x
  3. Step 3: Cross multiply
    119,705.54x = 165,186.24 × 65,987.78
  4. Step 4: Simplify right side
    119,705.54x = 10,900,273,264.15
  5. Step 5: Solve for x
    x = 10,900,273,264.15/119,705.54
  6. Step 6: Final answer
    x = 91,059.05

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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.