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Finding the Fourth Proportional to 65,655, 90,603.90 and 35,847

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Solution

The fourth proportional to 65,655, 90,603.90 and 35,847 is: 49,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,655 : 90,603.90 = 35,847 : x
  2. Step 2: Convert to fraction form
    65,655/90,603.90 = 35,847/x
  3. Step 3: Cross multiply
    65,655x = 90,603.90 × 35,847
  4. Step 4: Simplify right side
    65,655x = 3,247,878,003.30
  5. Step 5: Solve for x
    x = 3,247,878,003.30/65,655
  6. Step 6: Final answer
    x = 49,468.86

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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.