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Finding the Fourth Proportional to 68,458.87, 102,704.10 and 29,017.54

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Solution

The fourth proportional to 68,458.87, 102,704.10 and 29,017.54 is: 43,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,458.87 : 102,704.10 = 29,017.54 : x
  2. Step 2: Convert to fraction form
    68,458.87/102,704.10 = 29,017.54/x
  3. Step 3: Cross multiply
    68,458.87x = 102,704.10 × 29,017.54
  4. Step 4: Simplify right side
    68,458.87x = 2,980,220,329.91
  5. Step 5: Solve for x
    x = 2,980,220,329.91/68,458.87
  6. Step 6: Final answer
    x = 43,533.00

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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.