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Finding the Fourth Proportional to 78,497.25, 117,729.37 and 25,894.41

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Solution

The fourth proportional to 78,497.25, 117,729.37 and 25,894.41 is: 38,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.25 : 117,729.37 = 25,894.41 : x
  2. Step 2: Convert to fraction form
    78,497.25/117,729.37 = 25,894.41/x
  3. Step 3: Cross multiply
    78,497.25x = 117,729.37 × 25,894.41
  4. Step 4: Simplify right side
    78,497.25x = 3,048,532,575.82
  5. Step 5: Solve for x
    x = 3,048,532,575.82/78,497.25
  6. Step 6: Final answer
    x = 38,836.17

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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.