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Finding the Fourth Proportional to 120,487.50, 166,272.75 and 82,783.62

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Solution

The fourth proportional to 120,487.50, 166,272.75 and 82,783.62 is: 114,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,487.50 : 166,272.75 = 82,783.62 : x
  2. Step 2: Convert to fraction form
    120,487.50/166,272.75 = 82,783.62/x
  3. Step 3: Cross multiply
    120,487.50x = 166,272.75 × 82,783.62
  4. Step 4: Simplify right side
    120,487.50x = 13,764,660,152.36
  5. Step 5: Solve for x
    x = 13,764,660,152.36/120,487.50
  6. Step 6: Final answer
    x = 114,241.40

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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.