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Finding the Fourth Proportional to 78,351.70, 107,975.55 and 76,912.06

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Solution

The fourth proportional to 78,351.70, 107,975.55 and 76,912.06 is: 105,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,351.70 : 107,975.55 = 76,912.06 : x
  2. Step 2: Convert to fraction form
    78,351.70/107,975.55 = 76,912.06/x
  3. Step 3: Cross multiply
    78,351.70x = 107,975.55 × 76,912.06
  4. Step 4: Simplify right side
    78,351.70x = 8,304,621,980.13
  5. Step 5: Solve for x
    x = 8,304,621,980.13/78,351.70
  6. Step 6: Final answer
    x = 105,991.60

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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.