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Finding the Fourth Proportional to 51,890, 71,619.40 and 33,023.12

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Solution

The fourth proportional to 51,890, 71,619.40 and 33,023.12 is: 45,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890 : 71,619.40 = 33,023.12 : x
  2. Step 2: Convert to fraction form
    51,890/71,619.40 = 33,023.12/x
  3. Step 3: Cross multiply
    51,890x = 71,619.40 × 33,023.12
  4. Step 4: Simplify right side
    51,890x = 2,365,096,040.53
  5. Step 5: Solve for x
    x = 2,365,096,040.53/51,890
  6. Step 6: Final answer
    x = 45,579.03

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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.