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Finding the Fourth Proportional to 78,364.81, 108,144.73 and 44,372.40

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Solution

The fourth proportional to 78,364.81, 108,144.73 and 44,372.40 is: 61,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364.81 : 108,144.73 = 44,372.40 : x
  2. Step 2: Convert to fraction form
    78,364.81/108,144.73 = 44,372.40/x
  3. Step 3: Cross multiply
    78,364.81x = 108,144.73 × 44,372.40
  4. Step 4: Simplify right side
    78,364.81x = 4,798,641,217.45
  5. Step 5: Solve for x
    x = 4,798,641,217.45/78,364.81
  6. Step 6: Final answer
    x = 61,234.64

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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.