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Finding the Fourth Proportional to 78,233.60, 107,928.48 and 52,361.12

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Solution

The fourth proportional to 78,233.60, 107,928.48 and 52,361.12 is: 72,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,233.60 : 107,928.48 = 52,361.12 : x
  2. Step 2: Convert to fraction form
    78,233.60/107,928.48 = 52,361.12/x
  3. Step 3: Cross multiply
    78,233.60x = 107,928.48 × 52,361.12
  4. Step 4: Simplify right side
    78,233.60x = 5,651,256,092.70
  5. Step 5: Solve for x
    x = 5,651,256,092.70/78,233.60
  6. Step 6: Final answer
    x = 72,235.66

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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.