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Finding the Fourth Proportional to 77,016.64, 115,495.80 and 30,244

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Solution

The fourth proportional to 77,016.64, 115,495.80 and 30,244 is: 45,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,016.64 : 115,495.80 = 30,244 : x
  2. Step 2: Convert to fraction form
    77,016.64/115,495.80 = 30,244/x
  3. Step 3: Cross multiply
    77,016.64x = 115,495.80 × 30,244
  4. Step 4: Simplify right side
    77,016.64x = 3,493,054,975.20
  5. Step 5: Solve for x
    x = 3,493,054,975.20/77,016.64
  6. Step 6: Final answer
    x = 45,354.55

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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.