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Finding the Fourth Proportional to 180,198.47, 248,661.70 and 99,615.12

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Solution

The fourth proportional to 180,198.47, 248,661.70 and 99,615.12 is: 137,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,198.47 : 248,661.70 = 99,615.12 : x
  2. Step 2: Convert to fraction form
    180,198.47/248,661.70 = 99,615.12/x
  3. Step 3: Cross multiply
    180,198.47x = 248,661.70 × 99,615.12
  4. Step 4: Simplify right side
    180,198.47x = 24,770,463,903.38
  5. Step 5: Solve for x
    x = 24,770,463,903.38/180,198.47
  6. Step 6: Final answer
    x = 137,462.12

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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.