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Finding the Fourth Proportional to 78,036, 117,054 and 22,632.48

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Solution

The fourth proportional to 78,036, 117,054 and 22,632.48 is: 33,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036 : 117,054 = 22,632.48 : x
  2. Step 2: Convert to fraction form
    78,036/117,054 = 22,632.48/x
  3. Step 3: Cross multiply
    78,036x = 117,054 × 22,632.48
  4. Step 4: Simplify right side
    78,036x = 2,649,222,313.92
  5. Step 5: Solve for x
    x = 2,649,222,313.92/78,036
  6. Step 6: Final answer
    x = 33,948.72

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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.