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Finding the Fourth Proportional to 120,188.34, 165,857.40 and 74,843.46

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Solution

The fourth proportional to 120,188.34, 165,857.40 and 74,843.46 is: 103,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,188.34 : 165,857.40 = 74,843.46 : x
  2. Step 2: Convert to fraction form
    120,188.34/165,857.40 = 74,843.46/x
  3. Step 3: Cross multiply
    120,188.34x = 165,857.40 × 74,843.46
  4. Step 4: Simplify right side
    120,188.34x = 12,413,341,682.60
  5. Step 5: Solve for x
    x = 12,413,341,682.60/120,188.34
  6. Step 6: Final answer
    x = 103,282.41

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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.