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Finding the Fourth Proportional to 250,211, 345,291.18 and 137,037.80

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Solution

The fourth proportional to 250,211, 345,291.18 and 137,037.80 is: 189,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,211 : 345,291.18 = 137,037.80 : x
  2. Step 2: Convert to fraction form
    250,211/345,291.18 = 137,037.80/x
  3. Step 3: Cross multiply
    250,211x = 345,291.18 × 137,037.80
  4. Step 4: Simplify right side
    250,211x = 47,317,943,666.60
  5. Step 5: Solve for x
    x = 47,317,943,666.60/250,211
  6. Step 6: Final answer
    x = 189,112.16

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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.