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Finding the Fourth Proportional to 78,596.57, 108,431.21 and 48,372.77

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Solution

The fourth proportional to 78,596.57, 108,431.21 and 48,372.77 is: 66,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,596.57 : 108,431.21 = 48,372.77 : x
  2. Step 2: Convert to fraction form
    78,596.57/108,431.21 = 48,372.77/x
  3. Step 3: Cross multiply
    78,596.57x = 108,431.21 × 48,372.77
  4. Step 4: Simplify right side
    78,596.57x = 5,245,117,740.29
  5. Step 5: Solve for x
    x = 5,245,117,740.29/78,596.57
  6. Step 6: Final answer
    x = 66,734.69

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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.