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Finding the Fourth Proportional to 78,313.78, 117,474.76 and 36,233.16

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Solution

The fourth proportional to 78,313.78, 117,474.76 and 36,233.16 is: 54,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,313.78 : 117,474.76 = 36,233.16 : x
  2. Step 2: Convert to fraction form
    78,313.78/117,474.76 = 36,233.16/x
  3. Step 3: Cross multiply
    78,313.78x = 117,474.76 × 36,233.16
  4. Step 4: Simplify right side
    78,313.78x = 4,256,481,775.04
  5. Step 5: Solve for x
    x = 4,256,481,775.04/78,313.78
  6. Step 6: Final answer
    x = 54,351.64

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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.