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Finding the Fourth Proportional to 68,478.60, 102,728.94 and 21,093.68

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Solution

The fourth proportional to 68,478.60, 102,728.94 and 21,093.68 is: 31,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,478.60 : 102,728.94 = 21,093.68 : x
  2. Step 2: Convert to fraction form
    68,478.60/102,728.94 = 21,093.68/x
  3. Step 3: Cross multiply
    68,478.60x = 102,728.94 × 21,093.68
  4. Step 4: Simplify right side
    68,478.60x = 2,166,931,643.92
  5. Step 5: Solve for x
    x = 2,166,931,643.92/68,478.60
  6. Step 6: Final answer
    x = 31,643.92

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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.