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Finding the Fourth Proportional to 120,328.96, 166,100.48 and 107,731.84

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Solution

The fourth proportional to 120,328.96, 166,100.48 and 107,731.84 is: 148,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,328.96 : 166,100.48 = 107,731.84 : x
  2. Step 2: Convert to fraction form
    120,328.96/166,100.48 = 107,731.84/x
  3. Step 3: Cross multiply
    120,328.96x = 166,100.48 × 107,731.84
  4. Step 4: Simplify right side
    120,328.96x = 17,894,310,335.28
  5. Step 5: Solve for x
    x = 17,894,310,335.28/120,328.96
  6. Step 6: Final answer
    x = 148,711.58

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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.