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Finding the Fourth Proportional to 85,303.96, 117,838.50 and 80,819.80

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Solution

The fourth proportional to 85,303.96, 117,838.50 and 80,819.80 is: 111,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,303.96 : 117,838.50 = 80,819.80 : x
  2. Step 2: Convert to fraction form
    85,303.96/117,838.50 = 80,819.80/x
  3. Step 3: Cross multiply
    85,303.96x = 117,838.50 × 80,819.80
  4. Step 4: Simplify right side
    85,303.96x = 9,523,684,002.30
  5. Step 5: Solve for x
    x = 9,523,684,002.30/85,303.96
  6. Step 6: Final answer
    x = 111,644.10

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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.