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Finding the Fourth Proportional to 160,991.78, 222,434.37 and 120,838.46

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Solution

The fourth proportional to 160,991.78, 222,434.37 and 120,838.46 is: 166,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991.78 : 222,434.37 = 120,838.46 : x
  2. Step 2: Convert to fraction form
    160,991.78/222,434.37 = 120,838.46/x
  3. Step 3: Cross multiply
    160,991.78x = 222,434.37 × 120,838.46
  4. Step 4: Simplify right side
    160,991.78x = 26,878,625,609.70
  5. Step 5: Solve for x
    x = 26,878,625,609.70/160,991.78
  6. Step 6: Final answer
    x = 166,956.51

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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.