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Finding the Fourth Proportional to 78,392, 108,180.96 and 43,064

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Solution

The fourth proportional to 78,392, 108,180.96 and 43,064 is: 59,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392 : 108,180.96 = 43,064 : x
  2. Step 2: Convert to fraction form
    78,392/108,180.96 = 43,064/x
  3. Step 3: Cross multiply
    78,392x = 108,180.96 × 43,064
  4. Step 4: Simplify right side
    78,392x = 4,658,704,861.44
  5. Step 5: Solve for x
    x = 4,658,704,861.44/78,392
  6. Step 6: Final answer
    x = 59,428.32

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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.