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Finding the Fourth Proportional to 49,906, 68,870.40 and 27,550

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Solution

The fourth proportional to 49,906, 68,870.40 and 27,550 is: 38,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906 : 68,870.40 = 27,550 : x
  2. Step 2: Convert to fraction form
    49,906/68,870.40 = 27,550/x
  3. Step 3: Cross multiply
    49,906x = 68,870.40 × 27,550
  4. Step 4: Simplify right side
    49,906x = 1,897,379,520.00
  5. Step 5: Solve for x
    x = 1,897,379,520.00/49,906
  6. Step 6: Final answer
    x = 38,019.07

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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.