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Finding the Fourth Proportional to 52,129.80, 78,194.70 and 18,865.80

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Solution

The fourth proportional to 52,129.80, 78,194.70 and 18,865.80 is: 28,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.80 : 78,194.70 = 18,865.80 : x
  2. Step 2: Convert to fraction form
    52,129.80/78,194.70 = 18,865.80/x
  3. Step 3: Cross multiply
    52,129.80x = 78,194.70 × 18,865.80
  4. Step 4: Simplify right side
    52,129.80x = 1,475,205,571.26
  5. Step 5: Solve for x
    x = 1,475,205,571.26/52,129.80
  6. Step 6: Final answer
    x = 28,298.70

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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.