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Finding the Fourth Proportional to 68,457.87, 102,702.60 and 29,016.54

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Solution

The fourth proportional to 68,457.87, 102,702.60 and 29,016.54 is: 43,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,457.87 : 102,702.60 = 29,016.54 : x
  2. Step 2: Convert to fraction form
    68,457.87/102,702.60 = 29,016.54/x
  3. Step 3: Cross multiply
    68,457.87x = 102,702.60 × 29,016.54
  4. Step 4: Simplify right side
    68,457.87x = 2,980,074,101.00
  5. Step 5: Solve for x
    x = 2,980,074,101.00/68,457.87
  6. Step 6: Final answer
    x = 43,531.50

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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.