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Finding the Fourth Proportional to 78,212.54, 107,905.02 and 51,369.60

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Solution

The fourth proportional to 78,212.54, 107,905.02 and 51,369.60 is: 70,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,212.54 : 107,905.02 = 51,369.60 : x
  2. Step 2: Convert to fraction form
    78,212.54/107,905.02 = 51,369.60/x
  3. Step 3: Cross multiply
    78,212.54x = 107,905.02 × 51,369.60
  4. Step 4: Simplify right side
    78,212.54x = 5,543,037,715.39
  5. Step 5: Solve for x
    x = 5,543,037,715.39/78,212.54
  6. Step 6: Final answer
    x = 70,871.47

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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.