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Finding the Fourth Proportional to 78,302.44, 108,054.82 and 43,847.20

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Solution

The fourth proportional to 78,302.44, 108,054.82 and 43,847.20 is: 60,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.44 : 108,054.82 = 43,847.20 : x
  2. Step 2: Convert to fraction form
    78,302.44/108,054.82 = 43,847.20/x
  3. Step 3: Cross multiply
    78,302.44x = 108,054.82 × 43,847.20
  4. Step 4: Simplify right side
    78,302.44x = 4,737,901,303.50
  5. Step 5: Solve for x
    x = 4,737,901,303.50/78,302.44
  6. Step 6: Final answer
    x = 60,507.71

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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.