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Finding the Fourth Proportional to 196,994.40, 295,405.20 and 78,626.40

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Solution

The fourth proportional to 196,994.40, 295,405.20 and 78,626.40 is: 117,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,994.40 : 295,405.20 = 78,626.40 : x
  2. Step 2: Convert to fraction form
    196,994.40/295,405.20 = 78,626.40/x
  3. Step 3: Cross multiply
    196,994.40x = 295,405.20 × 78,626.40
  4. Step 4: Simplify right side
    196,994.40x = 23,226,647,417.28
  5. Step 5: Solve for x
    x = 23,226,647,417.28/196,994.40
  6. Step 6: Final answer
    x = 117,905.12

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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.