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Finding the Fourth Proportional to 78,162.32, 117,243.54 and 54,892.64

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Solution

The fourth proportional to 78,162.32, 117,243.54 and 54,892.64 is: 82,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.32 : 117,243.54 = 54,892.64 : x
  2. Step 2: Convert to fraction form
    78,162.32/117,243.54 = 54,892.64/x
  3. Step 3: Cross multiply
    78,162.32x = 117,243.54 × 54,892.64
  4. Step 4: Simplify right side
    78,162.32x = 6,435,806,847.33
  5. Step 5: Solve for x
    x = 6,435,806,847.33/78,162.32
  6. Step 6: Final answer
    x = 82,339.00

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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.