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Finding the Fourth Proportional to 68,585.82, 102,829.52 and 31,127.07

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Solution

The fourth proportional to 68,585.82, 102,829.52 and 31,127.07 is: 46,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,585.82 : 102,829.52 = 31,127.07 : x
  2. Step 2: Convert to fraction form
    68,585.82/102,829.52 = 31,127.07/x
  3. Step 3: Cross multiply
    68,585.82x = 102,829.52 × 31,127.07
  4. Step 4: Simplify right side
    68,585.82x = 3,200,781,511.47
  5. Step 5: Solve for x
    x = 3,200,781,511.47/68,585.82
  6. Step 6: Final answer
    x = 46,668.27

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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.