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Finding the Fourth Proportional to 78,412.91, 108,185.98 and 44,416

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Solution

The fourth proportional to 78,412.91, 108,185.98 and 44,416 is: 61,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.91 : 108,185.98 = 44,416 : x
  2. Step 2: Convert to fraction form
    78,412.91/108,185.98 = 44,416/x
  3. Step 3: Cross multiply
    78,412.91x = 108,185.98 × 44,416
  4. Step 4: Simplify right side
    78,412.91x = 4,805,188,487.68
  5. Step 5: Solve for x
    x = 4,805,188,487.68/78,412.91
  6. Step 6: Final answer
    x = 61,280.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.