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Finding the Fourth Proportional to 78,398.15, 117,611.80 and 25,811.33

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Solution

The fourth proportional to 78,398.15, 117,611.80 and 25,811.33 is: 38,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398.15 : 117,611.80 = 25,811.33 : x
  2. Step 2: Convert to fraction form
    78,398.15/117,611.80 = 25,811.33/x
  3. Step 3: Cross multiply
    78,398.15x = 117,611.80 × 25,811.33
  4. Step 4: Simplify right side
    78,398.15x = 3,035,716,329.11
  5. Step 5: Solve for x
    x = 3,035,716,329.11/78,398.15
  6. Step 6: Final answer
    x = 38,721.79

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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.