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Finding the Fourth Proportional to 207,961.20, 311,941.80 and 102,758.40

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Solution

The fourth proportional to 207,961.20, 311,941.80 and 102,758.40 is: 154,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,961.20 : 311,941.80 = 102,758.40 : x
  2. Step 2: Convert to fraction form
    207,961.20/311,941.80 = 102,758.40/x
  3. Step 3: Cross multiply
    207,961.20x = 311,941.80 × 102,758.40
  4. Step 4: Simplify right side
    207,961.20x = 32,054,640,261.12
  5. Step 5: Solve for x
    x = 32,054,640,261.12/207,961.20
  6. Step 6: Final answer
    x = 154,137.60

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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.