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Finding the Fourth Proportional to 208,908.90, 313,148.84 and 82,497.91

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Solution

The fourth proportional to 208,908.90, 313,148.84 and 82,497.91 is: 123,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,908.90 : 313,148.84 = 82,497.91 : x
  2. Step 2: Convert to fraction form
    208,908.90/313,148.84 = 82,497.91/x
  3. Step 3: Cross multiply
    208,908.90x = 313,148.84 × 82,497.91
  4. Step 4: Simplify right side
    208,908.90x = 25,834,125,393.32
  5. Step 5: Solve for x
    x = 25,834,125,393.32/208,908.90
  6. Step 6: Final answer
    x = 123,662.16

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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.