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Finding the Fourth Proportional to 65,910, 90,956.12 and 36,102

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Solution

The fourth proportional to 65,910, 90,956.12 and 36,102 is: 49,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,910 : 90,956.12 = 36,102 : x
  2. Step 2: Convert to fraction form
    65,910/90,956.12 = 36,102/x
  3. Step 3: Cross multiply
    65,910x = 90,956.12 × 36,102
  4. Step 4: Simplify right side
    65,910x = 3,283,697,844.24
  5. Step 5: Solve for x
    x = 3,283,697,844.24/65,910
  6. Step 6: Final answer
    x = 49,820.94

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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.