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Finding the Fourth Proportional to 146,369.82, 202,002.24 and 82,720.86

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Solution

The fourth proportional to 146,369.82, 202,002.24 and 82,720.86 is: 114,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,369.82 : 202,002.24 = 82,720.86 : x
  2. Step 2: Convert to fraction form
    146,369.82/202,002.24 = 82,720.86/x
  3. Step 3: Cross multiply
    146,369.82x = 202,002.24 × 82,720.86
  4. Step 4: Simplify right side
    146,369.82x = 16,709,799,014.73
  5. Step 5: Solve for x
    x = 16,709,799,014.73/146,369.82
  6. Step 6: Final answer
    x = 114,161.51

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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.