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Finding the Fourth Proportional to 68,322.74, 102,475.63 and 18,406.74

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Solution

The fourth proportional to 68,322.74, 102,475.63 and 18,406.74 is: 27,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,322.74 : 102,475.63 = 18,406.74 : x
  2. Step 2: Convert to fraction form
    68,322.74/102,475.63 = 18,406.74/x
  3. Step 3: Cross multiply
    68,322.74x = 102,475.63 × 18,406.74
  4. Step 4: Simplify right side
    68,322.74x = 1,886,242,277.75
  5. Step 5: Solve for x
    x = 1,886,242,277.75/68,322.74
  6. Step 6: Final answer
    x = 27,607.83

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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.