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Finding the Fourth Proportional to 65,823, 90,835.80 and 36,015

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Solution

The fourth proportional to 65,823, 90,835.80 and 36,015 is: 49,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823 : 90,835.80 = 36,015 : x
  2. Step 2: Convert to fraction form
    65,823/90,835.80 = 36,015/x
  3. Step 3: Cross multiply
    65,823x = 90,835.80 × 36,015
  4. Step 4: Simplify right side
    65,823x = 3,271,451,337
  5. Step 5: Solve for x
    x = 3,271,451,337/65,823
  6. Step 6: Final answer
    x = 49,700.73

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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.