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Finding the Fourth Proportional to 68,404.60, 102,605.78 and 21,657.40

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Solution

The fourth proportional to 68,404.60, 102,605.78 and 21,657.40 is: 32,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,404.60 : 102,605.78 = 21,657.40 : x
  2. Step 2: Convert to fraction form
    68,404.60/102,605.78 = 21,657.40/x
  3. Step 3: Cross multiply
    68,404.60x = 102,605.78 × 21,657.40
  4. Step 4: Simplify right side
    68,404.60x = 2,222,174,419.77
  5. Step 5: Solve for x
    x = 2,222,174,419.77/68,404.60
  6. Step 6: Final answer
    x = 32,485.75

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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.