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Finding the Fourth Proportional to 78,398, 117,616.54 and 22,994

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Solution

The fourth proportional to 78,398, 117,616.54 and 22,994 is: 34,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398 : 117,616.54 = 22,994 : x
  2. Step 2: Convert to fraction form
    78,398/117,616.54 = 22,994/x
  3. Step 3: Cross multiply
    78,398x = 117,616.54 × 22,994
  4. Step 4: Simplify right side
    78,398x = 2,704,474,720.76
  5. Step 5: Solve for x
    x = 2,704,474,720.76/78,398
  6. Step 6: Final answer
    x = 34,496.73

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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.