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Finding the Fourth Proportional to 57,063.32, 78,745.92 and 31,570.64

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Solution

The fourth proportional to 57,063.32, 78,745.92 and 31,570.64 is: 43,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,063.32 : 78,745.92 = 31,570.64 : x
  2. Step 2: Convert to fraction form
    57,063.32/78,745.92 = 31,570.64/x
  3. Step 3: Cross multiply
    57,063.32x = 78,745.92 × 31,570.64
  4. Step 4: Simplify right side
    57,063.32x = 2,486,059,091.79
  5. Step 5: Solve for x
    x = 2,486,059,091.79/57,063.32
  6. Step 6: Final answer
    x = 43,566.67

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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.