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Finding the Fourth Proportional to 138,162.08, 190,662.72 and 78,546.08

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Solution

The fourth proportional to 138,162.08, 190,662.72 and 78,546.08 is: 108,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.08 : 190,662.72 = 78,546.08 : x
  2. Step 2: Convert to fraction form
    138,162.08/190,662.72 = 78,546.08/x
  3. Step 3: Cross multiply
    138,162.08x = 190,662.72 × 78,546.08
  4. Step 4: Simplify right side
    138,162.08x = 14,975,809,258.14
  5. Step 5: Solve for x
    x = 14,975,809,258.14/138,162.08
  6. Step 6: Final answer
    x = 108,393.05

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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.