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Finding the Fourth Proportional to 78,147.44, 117,263.16 and 51,864.56

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Solution

The fourth proportional to 78,147.44, 117,263.16 and 51,864.56 is: 77,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147.44 : 117,263.16 = 51,864.56 : x
  2. Step 2: Convert to fraction form
    78,147.44/117,263.16 = 51,864.56/x
  3. Step 3: Cross multiply
    78,147.44x = 117,263.16 × 51,864.56
  4. Step 4: Simplify right side
    78,147.44x = 6,081,802,197.61
  5. Step 5: Solve for x
    x = 6,081,802,197.61/78,147.44
  6. Step 6: Final answer
    x = 77,824.71

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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.