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Finding the Fourth Proportional to 57,065.34, 78,749.67 and 31,573.58

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Solution

The fourth proportional to 57,065.34, 78,749.67 and 31,573.58 is: 43,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,065.34 : 78,749.67 = 31,573.58 : x
  2. Step 2: Convert to fraction form
    57,065.34/78,749.67 = 31,573.58/x
  3. Step 3: Cross multiply
    57,065.34x = 78,749.67 × 31,573.58
  4. Step 4: Simplify right side
    57,065.34x = 2,486,408,611.97
  5. Step 5: Solve for x
    x = 2,486,408,611.97/57,065.34
  6. Step 6: Final answer
    x = 43,571.26

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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.