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Finding the Fourth Proportional to 57,758.40, 86,469.12 and 51,755.76

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Solution

The fourth proportional to 57,758.40, 86,469.12 and 51,755.76 is: 77,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758.40 : 86,469.12 = 51,755.76 : x
  2. Step 2: Convert to fraction form
    57,758.40/86,469.12 = 51,755.76/x
  3. Step 3: Cross multiply
    57,758.40x = 86,469.12 × 51,755.76
  4. Step 4: Simplify right side
    57,758.40x = 4,475,275,022.13
  5. Step 5: Solve for x
    x = 4,475,275,022.13/57,758.40
  6. Step 6: Final answer
    x = 77,482.67

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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.