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Finding the Fourth Proportional to 78,564.36, 117,850.32 and 25,972.68

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Solution

The fourth proportional to 78,564.36, 117,850.32 and 25,972.68 is: 38,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564.36 : 117,850.32 = 25,972.68 : x
  2. Step 2: Convert to fraction form
    78,564.36/117,850.32 = 25,972.68/x
  3. Step 3: Cross multiply
    78,564.36x = 117,850.32 × 25,972.68
  4. Step 4: Simplify right side
    78,564.36x = 3,060,888,649.26
  5. Step 5: Solve for x
    x = 3,060,888,649.26/78,564.36
  6. Step 6: Final answer
    x = 38,960.27

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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.