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Finding the Fourth Proportional to 78,284, 117,401.36 and 25,681.28

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Solution

The fourth proportional to 78,284, 117,401.36 and 25,681.28 is: 38,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284 : 117,401.36 = 25,681.28 : x
  2. Step 2: Convert to fraction form
    78,284/117,401.36 = 25,681.28/x
  3. Step 3: Cross multiply
    78,284x = 117,401.36 × 25,681.28
  4. Step 4: Simplify right side
    78,284x = 3,015,017,198.54
  5. Step 5: Solve for x
    x = 3,015,017,198.54/78,284
  6. Step 6: Final answer
    x = 38,513.84

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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.