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Finding the Fourth Proportional to 78,367.95, 117,487.13 and 38,952.54

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Solution

The fourth proportional to 78,367.95, 117,487.13 and 38,952.54 is: 58,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.95 : 117,487.13 = 38,952.54 : x
  2. Step 2: Convert to fraction form
    78,367.95/117,487.13 = 38,952.54/x
  3. Step 3: Cross multiply
    78,367.95x = 117,487.13 × 38,952.54
  4. Step 4: Simplify right side
    78,367.95x = 4,576,421,936.05
  5. Step 5: Solve for x
    x = 4,576,421,936.05/78,367.95
  6. Step 6: Final answer
    x = 58,396.60

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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.