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Finding the Fourth Proportional to 120,807.50, 166,797.74 and 75,505.84

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Solution

The fourth proportional to 120,807.50, 166,797.74 and 75,505.84 is: 104,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,807.50 : 166,797.74 = 75,505.84 : x
  2. Step 2: Convert to fraction form
    120,807.50/166,797.74 = 75,505.84/x
  3. Step 3: Cross multiply
    120,807.50x = 166,797.74 × 75,505.84
  4. Step 4: Simplify right side
    120,807.50x = 12,594,203,240.57
  5. Step 5: Solve for x
    x = 12,594,203,240.57/120,807.50
  6. Step 6: Final answer
    x = 104,250.18

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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.