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Finding the Fourth Proportional to 80,432.94, 120,571.65 and 30,478.62

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Solution

The fourth proportional to 80,432.94, 120,571.65 and 30,478.62 is: 45,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,432.94 : 120,571.65 = 30,478.62 : x
  2. Step 2: Convert to fraction form
    80,432.94/120,571.65 = 30,478.62/x
  3. Step 3: Cross multiply
    80,432.94x = 120,571.65 × 30,478.62
  4. Step 4: Simplify right side
    80,432.94x = 3,674,857,503.12
  5. Step 5: Solve for x
    x = 3,674,857,503.12/80,432.94
  6. Step 6: Final answer
    x = 45,688.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.