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Finding the Fourth Proportional to 78,125.94, 117,194.37 and 38,672.46

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Solution

The fourth proportional to 78,125.94, 117,194.37 and 38,672.46 is: 58,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.94 : 117,194.37 = 38,672.46 : x
  2. Step 2: Convert to fraction form
    78,125.94/117,194.37 = 38,672.46/x
  3. Step 3: Cross multiply
    78,125.94x = 117,194.37 × 38,672.46
  4. Step 4: Simplify right side
    78,125.94x = 4,532,194,586.05
  5. Step 5: Solve for x
    x = 4,532,194,586.05/78,125.94
  6. Step 6: Final answer
    x = 58,011.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.