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Finding the Fourth Proportional to 208,886.34, 288,262.45 and 113,392.36

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Solution

The fourth proportional to 208,886.34, 288,262.45 and 113,392.36 is: 156,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,886.34 : 288,262.45 = 113,392.36 : x
  2. Step 2: Convert to fraction form
    208,886.34/288,262.45 = 113,392.36/x
  3. Step 3: Cross multiply
    208,886.34x = 288,262.45 × 113,392.36
  4. Step 4: Simplify right side
    208,886.34x = 32,686,757,747.64
  5. Step 5: Solve for x
    x = 32,686,757,747.64/208,886.34
  6. Step 6: Final answer
    x = 156,481.07

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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.