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Finding the Fourth Proportional to 47,991.80, 72,020.10 and 31,311.20

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Solution

The fourth proportional to 47,991.80, 72,020.10 and 31,311.20 is: 46,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,991.80 : 72,020.10 = 31,311.20 : x
  2. Step 2: Convert to fraction form
    47,991.80/72,020.10 = 31,311.20/x
  3. Step 3: Cross multiply
    47,991.80x = 72,020.10 × 31,311.20
  4. Step 4: Simplify right side
    47,991.80x = 2,255,035,755.12
  5. Step 5: Solve for x
    x = 2,255,035,755.12/47,991.80
  6. Step 6: Final answer
    x = 46,987.94

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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.