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Finding the Fourth Proportional to 208,796.70, 288,008.07 and 123,853.50

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Solution

The fourth proportional to 208,796.70, 288,008.07 and 123,853.50 is: 170,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,796.70 : 288,008.07 = 123,853.50 : x
  2. Step 2: Convert to fraction form
    208,796.70/288,008.07 = 123,853.50/x
  3. Step 3: Cross multiply
    208,796.70x = 288,008.07 × 123,853.50
  4. Step 4: Simplify right side
    208,796.70x = 35,670,807,497.75
  5. Step 5: Solve for x
    x = 35,670,807,497.75/208,796.70
  6. Step 6: Final answer
    x = 170,839.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.