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Finding the Fourth Proportional to 120,702.72, 180,944.64 and 65,233.92

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Solution

The fourth proportional to 120,702.72, 180,944.64 and 65,233.92 is: 97,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702.72 : 180,944.64 = 65,233.92 : x
  2. Step 2: Convert to fraction form
    120,702.72/180,944.64 = 65,233.92/x
  3. Step 3: Cross multiply
    120,702.72x = 180,944.64 × 65,233.92
  4. Step 4: Simplify right side
    120,702.72x = 11,803,728,170.19
  5. Step 5: Solve for x
    x = 11,803,728,170.19/120,702.72
  6. Step 6: Final answer
    x = 97,791.73

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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.