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Finding the Fourth Proportional to 120,357.13, 166,095.44 and 65,911.60

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Solution

The fourth proportional to 120,357.13, 166,095.44 and 65,911.60 is: 90,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,357.13 : 166,095.44 = 65,911.60 : x
  2. Step 2: Convert to fraction form
    120,357.13/166,095.44 = 65,911.60/x
  3. Step 3: Cross multiply
    120,357.13x = 166,095.44 × 65,911.60
  4. Step 4: Simplify right side
    120,357.13x = 10,947,616,203.10
  5. Step 5: Solve for x
    x = 10,947,616,203.10/120,357.13
  6. Step 6: Final answer
    x = 90,959.43

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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.