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Finding the Fourth Proportional to 65,442.72, 90,308.48 and 39,991.64

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Solution

The fourth proportional to 65,442.72, 90,308.48 and 39,991.64 is: 55,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,442.72 : 90,308.48 = 39,991.64 : x
  2. Step 2: Convert to fraction form
    65,442.72/90,308.48 = 39,991.64/x
  3. Step 3: Cross multiply
    65,442.72x = 90,308.48 × 39,991.64
  4. Step 4: Simplify right side
    65,442.72x = 3,611,584,221.11
  5. Step 5: Solve for x
    x = 3,611,584,221.11/65,442.72
  6. Step 6: Final answer
    x = 55,186.95

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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.