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Finding the Fourth Proportional to 49,485, 68,290.11 and 27,129

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Solution

The fourth proportional to 49,485, 68,290.11 and 27,129 is: 37,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,485 : 68,290.11 = 27,129 : x
  2. Step 2: Convert to fraction form
    49,485/68,290.11 = 27,129/x
  3. Step 3: Cross multiply
    49,485x = 68,290.11 × 27,129
  4. Step 4: Simplify right side
    49,485x = 1,852,642,394.19
  5. Step 5: Solve for x
    x = 1,852,642,394.19/49,485
  6. Step 6: Final answer
    x = 37,438.46

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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.