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Finding the Fourth Proportional to 213,860.44, 295,159.71 and 123,229.81

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Solution

The fourth proportional to 213,860.44, 295,159.71 and 123,229.81 is: 170,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,860.44 : 295,159.71 = 123,229.81 : x
  2. Step 2: Convert to fraction form
    213,860.44/295,159.71 = 123,229.81/x
  3. Step 3: Cross multiply
    213,860.44x = 295,159.71 × 123,229.81
  4. Step 4: Simplify right side
    213,860.44x = 36,372,474,982.96
  5. Step 5: Solve for x
    x = 36,372,474,982.96/213,860.44
  6. Step 6: Final answer
    x = 170,075.75

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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.