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Finding the Fourth Proportional to 120,407.51, 166,160.52 and 65,959.26

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Solution

The fourth proportional to 120,407.51, 166,160.52 and 65,959.26 is: 91,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,407.51 : 166,160.52 = 65,959.26 : x
  2. Step 2: Convert to fraction form
    120,407.51/166,160.52 = 65,959.26/x
  3. Step 3: Cross multiply
    120,407.51x = 166,160.52 × 65,959.26
  4. Step 4: Simplify right side
    120,407.51x = 10,959,824,940.42
  5. Step 5: Solve for x
    x = 10,959,824,940.42/120,407.51
  6. Step 6: Final answer
    x = 91,022.77

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1.5x scale

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.