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Finding the Fourth Proportional to 52,098, 78,099.12 and 18,810.24

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Solution

The fourth proportional to 52,098, 78,099.12 and 18,810.24 is: 28,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098 : 78,099.12 = 18,810.24 : x
  2. Step 2: Convert to fraction form
    52,098/78,099.12 = 18,810.24/x
  3. Step 3: Cross multiply
    52,098x = 78,099.12 × 18,810.24
  4. Step 4: Simplify right side
    52,098x = 1,469,063,190.99
  5. Step 5: Solve for x
    x = 1,469,063,190.99/52,098
  6. Step 6: Final answer
    x = 28,198.07

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1.5x scale

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.