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Finding the Fourth Proportional to 49,978.79, 68,968.74 and 27,318.58

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Solution

The fourth proportional to 49,978.79, 68,968.74 and 27,318.58 is: 37,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.79 : 68,968.74 = 27,318.58 : x
  2. Step 2: Convert to fraction form
    49,978.79/68,968.74 = 27,318.58/x
  3. Step 3: Cross multiply
    49,978.79x = 68,968.74 × 27,318.58
  4. Step 4: Simplify right side
    49,978.79x = 1,884,127,971.21
  5. Step 5: Solve for x
    x = 1,884,127,971.21/49,978.79
  6. Step 6: Final answer
    x = 37,698.55

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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.