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Finding the Fourth Proportional to 208,589.28, 287,771.80 and 136,077.42

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Solution

The fourth proportional to 208,589.28, 287,771.80 and 136,077.42 is: 187,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,589.28 : 287,771.80 = 136,077.42 : x
  2. Step 2: Convert to fraction form
    208,589.28/287,771.80 = 136,077.42/x
  3. Step 3: Cross multiply
    208,589.28x = 287,771.80 × 136,077.42
  4. Step 4: Simplify right side
    208,589.28x = 39,159,244,092.76
  5. Step 5: Solve for x
    x = 39,159,244,092.76/208,589.28
  6. Step 6: Final answer
    x = 187,733.73

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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.