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Finding the Fourth Proportional to 208,810.31, 313,250.09 and 68,536.13

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Solution

The fourth proportional to 208,810.31, 313,250.09 and 68,536.13 is: 102,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,810.31 : 313,250.09 = 68,536.13 : x
  2. Step 2: Convert to fraction form
    208,810.31/313,250.09 = 68,536.13/x
  3. Step 3: Cross multiply
    208,810.31x = 313,250.09 × 68,536.13
  4. Step 4: Simplify right side
    208,810.31x = 21,468,946,981.82
  5. Step 5: Solve for x
    x = 21,468,946,981.82/208,810.31
  6. Step 6: Final answer
    x = 102,815.55

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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.