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Finding the Fourth Proportional to 78,223.44, 107,962.56 and 51,318.48

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Solution

The fourth proportional to 78,223.44, 107,962.56 and 51,318.48 is: 70,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.44 : 107,962.56 = 51,318.48 : x
  2. Step 2: Convert to fraction form
    78,223.44/107,962.56 = 51,318.48/x
  3. Step 3: Cross multiply
    78,223.44x = 107,962.56 × 51,318.48
  4. Step 4: Simplify right side
    78,223.44x = 5,540,474,476.11
  5. Step 5: Solve for x
    x = 5,540,474,476.11/78,223.44
  6. Step 6: Final answer
    x = 70,828.83

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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.