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Finding the Fourth Proportional to 65,261.86, 97,905.04 and 20,876.69

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Solution

The fourth proportional to 65,261.86, 97,905.04 and 20,876.69 is: 31,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,261.86 : 97,905.04 = 20,876.69 : x
  2. Step 2: Convert to fraction form
    65,261.86/97,905.04 = 20,876.69/x
  3. Step 3: Cross multiply
    65,261.86x = 97,905.04 × 20,876.69
  4. Step 4: Simplify right side
    65,261.86x = 2,043,933,362.09
  5. Step 5: Solve for x
    x = 2,043,933,362.09/65,261.86
  6. Step 6: Final answer
    x = 31,318.96

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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.