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Finding the Fourth Proportional to 188,647.68, 260,340.72 and 103,771.20

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Solution

The fourth proportional to 188,647.68, 260,340.72 and 103,771.20 is: 143,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,647.68 : 260,340.72 = 103,771.20 : x
  2. Step 2: Convert to fraction form
    188,647.68/260,340.72 = 103,771.20/x
  3. Step 3: Cross multiply
    188,647.68x = 260,340.72 × 103,771.20
  4. Step 4: Simplify right side
    188,647.68x = 27,015,868,923.26
  5. Step 5: Solve for x
    x = 27,015,868,923.26/188,647.68
  6. Step 6: Final answer
    x = 143,208.06

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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.