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Finding the Fourth Proportional to 78,195.52, 117,069.54 and 51,847.84

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Solution

The fourth proportional to 78,195.52, 117,069.54 and 51,847.84 is: 77,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.52 : 117,069.54 = 51,847.84 : x
  2. Step 2: Convert to fraction form
    78,195.52/117,069.54 = 51,847.84/x
  3. Step 3: Cross multiply
    78,195.52x = 117,069.54 × 51,847.84
  4. Step 4: Simplify right side
    78,195.52x = 6,069,802,778.79
  5. Step 5: Solve for x
    x = 6,069,802,778.79/78,195.52
  6. Step 6: Final answer
    x = 77,623.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.