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Finding the Fourth Proportional to 78,350.98, 108,213.38 and 52,813.30

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Solution

The fourth proportional to 78,350.98, 108,213.38 and 52,813.30 is: 72,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350.98 : 108,213.38 = 52,813.30 : x
  2. Step 2: Convert to fraction form
    78,350.98/108,213.38 = 52,813.30/x
  3. Step 3: Cross multiply
    78,350.98x = 108,213.38 × 52,813.30
  4. Step 4: Simplify right side
    78,350.98x = 5,715,105,701.95
  5. Step 5: Solve for x
    x = 5,715,105,701.95/78,350.98
  6. Step 6: Final answer
    x = 72,942.36

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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.