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Finding the Fourth Proportional to 207,961.30, 311,941.95 and 158,809.30

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Solution

The fourth proportional to 207,961.30, 311,941.95 and 158,809.30 is: 238,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,961.30 : 311,941.95 = 158,809.30 : x
  2. Step 2: Convert to fraction form
    207,961.30/311,941.95 = 158,809.30/x
  3. Step 3: Cross multiply
    207,961.30x = 311,941.95 × 158,809.30
  4. Step 4: Simplify right side
    207,961.30x = 49,539,282,720.14
  5. Step 5: Solve for x
    x = 49,539,282,720.14/207,961.30
  6. Step 6: Final answer
    x = 238,213.95

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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.