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Finding the Fourth Proportional to 65,138.56, 89,889.62 and 36,458.60

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Solution

The fourth proportional to 65,138.56, 89,889.62 and 36,458.60 is: 50,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.56 : 89,889.62 = 36,458.60 : x
  2. Step 2: Convert to fraction form
    65,138.56/89,889.62 = 36,458.60/x
  3. Step 3: Cross multiply
    65,138.56x = 89,889.62 × 36,458.60
  4. Step 4: Simplify right side
    65,138.56x = 3,277,249,699.73
  5. Step 5: Solve for x
    x = 3,277,249,699.73/65,138.56
  6. Step 6: Final answer
    x = 50,311.98

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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.