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Finding the Fourth Proportional to 66,285.36, 99,293.76 and 30,696.48

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Solution

The fourth proportional to 66,285.36, 99,293.76 and 30,696.48 is: 45,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,285.36 : 99,293.76 = 30,696.48 : x
  2. Step 2: Convert to fraction form
    66,285.36/99,293.76 = 30,696.48/x
  3. Step 3: Cross multiply
    66,285.36x = 99,293.76 × 30,696.48
  4. Step 4: Simplify right side
    66,285.36x = 3,047,968,917.96
  5. Step 5: Solve for x
    x = 3,047,968,917.96/66,285.36
  6. Step 6: Final answer
    x = 45,982.54

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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.