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Finding the Fourth Proportional to 80,265.72, 120,398.64 and 47,216.16

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Solution

The fourth proportional to 80,265.72, 120,398.64 and 47,216.16 is: 70,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,265.72 : 120,398.64 = 47,216.16 : x
  2. Step 2: Convert to fraction form
    80,265.72/120,398.64 = 47,216.16/x
  3. Step 3: Cross multiply
    80,265.72x = 120,398.64 × 47,216.16
  4. Step 4: Simplify right side
    80,265.72x = 5,684,761,450.02
  5. Step 5: Solve for x
    x = 5,684,761,450.02/80,265.72
  6. Step 6: Final answer
    x = 70,824.28

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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.