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Finding the Fourth Proportional to 68,694.90, 102,890.12 and 52,782.82

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Solution

The fourth proportional to 68,694.90, 102,890.12 and 52,782.82 is: 79,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,694.90 : 102,890.12 = 52,782.82 : x
  2. Step 2: Convert to fraction form
    68,694.90/102,890.12 = 52,782.82/x
  3. Step 3: Cross multiply
    68,694.90x = 102,890.12 × 52,782.82
  4. Step 4: Simplify right side
    68,694.90x = 5,430,830,683.74
  5. Step 5: Solve for x
    x = 5,430,830,683.74/68,694.90
  6. Step 6: Final answer
    x = 79,057.26

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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.