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Finding the Fourth Proportional to 57,884.90, 86,828.87 and 15,765.34

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Solution

The fourth proportional to 57,884.90, 86,828.87 and 15,765.34 is: 23,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,884.90 : 86,828.87 = 15,765.34 : x
  2. Step 2: Convert to fraction form
    57,884.90/86,828.87 = 15,765.34/x
  3. Step 3: Cross multiply
    57,884.90x = 86,828.87 × 15,765.34
  4. Step 4: Simplify right side
    57,884.90x = 1,368,886,657.37
  5. Step 5: Solve for x
    x = 1,368,886,657.37/57,884.90
  6. Step 6: Final answer
    x = 23,648.42

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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.