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Finding the Fourth Proportional to 68,565.54, 102,855.60 and 18,646.46

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Solution

The fourth proportional to 68,565.54, 102,855.60 and 18,646.46 is: 27,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,565.54 : 102,855.60 = 18,646.46 : x
  2. Step 2: Convert to fraction form
    68,565.54/102,855.60 = 18,646.46/x
  3. Step 3: Cross multiply
    68,565.54x = 102,855.60 × 18,646.46
  4. Step 4: Simplify right side
    68,565.54x = 1,917,892,316.90
  5. Step 5: Solve for x
    x = 1,917,892,316.90/68,565.54
  6. Step 6: Final answer
    x = 27,971.67

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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.