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Finding the Fourth Proportional to 52,458.87, 78,659.13 and 21,257.67

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Solution

The fourth proportional to 52,458.87, 78,659.13 and 21,257.67 is: 31,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,458.87 : 78,659.13 = 21,257.67 : x
  2. Step 2: Convert to fraction form
    52,458.87/78,659.13 = 21,257.67/x
  3. Step 3: Cross multiply
    52,458.87x = 78,659.13 × 21,257.67
  4. Step 4: Simplify right side
    52,458.87x = 1,672,109,828.03
  5. Step 5: Solve for x
    x = 1,672,109,828.03/52,458.87
  6. Step 6: Final answer
    x = 31,874.68

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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.