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Finding the Fourth Proportional to 71,565.84, 107,336.59 and 18,980.64

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Solution

The fourth proportional to 71,565.84, 107,336.59 and 18,980.64 is: 28,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565.84 : 107,336.59 = 18,980.64 : x
  2. Step 2: Convert to fraction form
    71,565.84/107,336.59 = 18,980.64/x
  3. Step 3: Cross multiply
    71,565.84x = 107,336.59 × 18,980.64
  4. Step 4: Simplify right side
    71,565.84x = 2,037,317,173.62
  5. Step 5: Solve for x
    x = 2,037,317,173.62/71,565.84
  6. Step 6: Final answer
    x = 28,467.73

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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.