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Finding the Fourth Proportional to 49,658, 68,544 and 31,801.12

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Solution

The fourth proportional to 49,658, 68,544 and 31,801.12 is: 43,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658 : 68,544 = 31,801.12 : x
  2. Step 2: Convert to fraction form
    49,658/68,544 = 31,801.12/x
  3. Step 3: Cross multiply
    49,658x = 68,544 × 31,801.12
  4. Step 4: Simplify right side
    49,658x = 2,179,775,969.28
  5. Step 5: Solve for x
    x = 2,179,775,969.28/49,658
  6. Step 6: Final answer
    x = 43,895.77

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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.