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Finding the Fourth Proportional to 68,642.26, 102,810.30 and 58,144.66

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Solution

The fourth proportional to 68,642.26, 102,810.30 and 58,144.66 is: 87,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,642.26 : 102,810.30 = 58,144.66 : x
  2. Step 2: Convert to fraction form
    68,642.26/102,810.30 = 58,144.66/x
  3. Step 3: Cross multiply
    68,642.26x = 102,810.30 × 58,144.66
  4. Step 4: Simplify right side
    68,642.26x = 5,977,869,938.00
  5. Step 5: Solve for x
    x = 5,977,869,938.00/68,642.26
  6. Step 6: Final answer
    x = 87,087.31

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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.