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Finding the Fourth Proportional to 213,867, 295,136.46 and 124,443

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Solution

The fourth proportional to 213,867, 295,136.46 and 124,443 is: 171,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,867 : 295,136.46 = 124,443 : x
  2. Step 2: Convert to fraction form
    213,867/295,136.46 = 124,443/x
  3. Step 3: Cross multiply
    213,867x = 295,136.46 × 124,443
  4. Step 4: Simplify right side
    213,867x = 36,727,666,491.78
  5. Step 5: Solve for x
    x = 36,727,666,491.78/213,867
  6. Step 6: Final answer
    x = 171,731.34

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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.