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Finding the Fourth Proportional to 78,496.75, 117,728.63 and 25,893.91

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Solution

The fourth proportional to 78,496.75, 117,728.63 and 25,893.91 is: 38,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.75 : 117,728.63 = 25,893.91 : x
  2. Step 2: Convert to fraction form
    78,496.75/117,728.63 = 25,893.91/x
  3. Step 3: Cross multiply
    78,496.75x = 117,728.63 × 25,893.91
  4. Step 4: Simplify right side
    78,496.75x = 3,048,453,831.53
  5. Step 5: Solve for x
    x = 3,048,453,831.53/78,496.75
  6. Step 6: Final answer
    x = 38,835.42

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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.