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Finding the Fourth Proportional to 208,764.84, 288,330.18 and 140,662.56

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Solution

The fourth proportional to 208,764.84, 288,330.18 and 140,662.56 is: 194,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,764.84 : 288,330.18 = 140,662.56 : x
  2. Step 2: Convert to fraction form
    208,764.84/288,330.18 = 140,662.56/x
  3. Step 3: Cross multiply
    208,764.84x = 288,330.18 × 140,662.56
  4. Step 4: Simplify right side
    208,764.84x = 40,557,261,244.06
  5. Step 5: Solve for x
    x = 40,557,261,244.06/208,764.84
  6. Step 6: Final answer
    x = 194,272.47

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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.