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Finding the Fourth Proportional to 208,384.61, 312,651.84 and 81,954.75

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Solution

The fourth proportional to 208,384.61, 312,651.84 and 81,954.75 is: 122,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,384.61 : 312,651.84 = 81,954.75 : x
  2. Step 2: Convert to fraction form
    208,384.61/312,651.84 = 81,954.75/x
  3. Step 3: Cross multiply
    208,384.61x = 312,651.84 × 81,954.75
  4. Step 4: Simplify right side
    208,384.61x = 25,623,303,384.24
  5. Step 5: Solve for x
    x = 25,623,303,384.24/208,384.61
  6. Step 6: Final answer
    x = 122,961.59

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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.