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Finding the Fourth Proportional to 47,220, 65,162.31 and 25,999.38

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Solution

The fourth proportional to 47,220, 65,162.31 and 25,999.38 is: 35,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,220 : 65,162.31 = 25,999.38 : x
  2. Step 2: Convert to fraction form
    47,220/65,162.31 = 25,999.38/x
  3. Step 3: Cross multiply
    47,220x = 65,162.31 × 25,999.38
  4. Step 4: Simplify right side
    47,220x = 1,694,179,659.37
  5. Step 5: Solve for x
    x = 1,694,179,659.37/47,220
  6. Step 6: Final answer
    x = 35,878.43

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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.