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Finding the Fourth Proportional to 31,755.60, 47,633.40 and 20,120.40

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Solution

The fourth proportional to 31,755.60, 47,633.40 and 20,120.40 is: 30,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.60 : 47,633.40 = 20,120.40 : x
  2. Step 2: Convert to fraction form
    31,755.60/47,633.40 = 20,120.40/x
  3. Step 3: Cross multiply
    31,755.60x = 47,633.40 × 20,120.40
  4. Step 4: Simplify right side
    31,755.60x = 958,403,061.36
  5. Step 5: Solve for x
    x = 958,403,061.36/31,755.60
  6. Step 6: Final answer
    x = 30,180.60

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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.