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Finding the Fourth Proportional to 78,200.96, 107,916 and 44,208.92

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Solution

The fourth proportional to 78,200.96, 107,916 and 44,208.92 is: 61,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.96 : 107,916 = 44,208.92 : x
  2. Step 2: Convert to fraction form
    78,200.96/107,916 = 44,208.92/x
  3. Step 3: Cross multiply
    78,200.96x = 107,916 × 44,208.92
  4. Step 4: Simplify right side
    78,200.96x = 4,770,849,810.72
  5. Step 5: Solve for x
    x = 4,770,849,810.72/78,200.96
  6. Step 6: Final answer
    x = 61,007.56

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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.