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Finding the Fourth Proportional to 120,908.92, 166,802.52 and 75,508.09

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Solution

The fourth proportional to 120,908.92, 166,802.52 and 75,508.09 is: 104,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,908.92 : 166,802.52 = 75,508.09 : x
  2. Step 2: Convert to fraction form
    120,908.92/166,802.52 = 75,508.09/x
  3. Step 3: Cross multiply
    120,908.92x = 166,802.52 × 75,508.09
  4. Step 4: Simplify right side
    120,908.92x = 12,594,939,692.39
  5. Step 5: Solve for x
    x = 12,594,939,692.39/120,908.92
  6. Step 6: Final answer
    x = 104,168.82

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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.