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Finding the Fourth Proportional to 78,231.04, 107,930.54 and 51,388

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Solution

The fourth proportional to 78,231.04, 107,930.54 and 51,388 is: 70,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.04 : 107,930.54 = 51,388 : x
  2. Step 2: Convert to fraction form
    78,231.04/107,930.54 = 51,388/x
  3. Step 3: Cross multiply
    78,231.04x = 107,930.54 × 51,388
  4. Step 4: Simplify right side
    78,231.04x = 5,546,334,589.52
  5. Step 5: Solve for x
    x = 5,546,334,589.52/78,231.04
  6. Step 6: Final answer
    x = 70,896.85

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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.