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Finding the Fourth Proportional to 77,670.90, 107,071.74 and 54,939.87

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Solution

The fourth proportional to 77,670.90, 107,071.74 and 54,939.87 is: 75,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,670.90 : 107,071.74 = 54,939.87 : x
  2. Step 2: Convert to fraction form
    77,670.90/107,071.74 = 54,939.87/x
  3. Step 3: Cross multiply
    77,670.90x = 107,071.74 × 54,939.87
  4. Step 4: Simplify right side
    77,670.90x = 5,882,507,476.27
  5. Step 5: Solve for x
    x = 5,882,507,476.27/77,670.90
  6. Step 6: Final answer
    x = 75,736.31

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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.