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Finding the Fourth Proportional to 52,205.80, 78,315.90 and 18,917.80

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Solution

The fourth proportional to 52,205.80, 78,315.90 and 18,917.80 is: 28,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.80 : 78,315.90 = 18,917.80 : x
  2. Step 2: Convert to fraction form
    52,205.80/78,315.90 = 18,917.80/x
  3. Step 3: Cross multiply
    52,205.80x = 78,315.90 × 18,917.80
  4. Step 4: Simplify right side
    52,205.80x = 1,481,564,533.02
  5. Step 5: Solve for x
    x = 1,481,564,533.02/52,205.80
  6. Step 6: Final answer
    x = 28,379.31

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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.