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Finding the Fourth Proportional to 188,309.98, 259,866.88 and 102,268.36

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Solution

The fourth proportional to 188,309.98, 259,866.88 and 102,268.36 is: 141,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,309.98 : 259,866.88 = 102,268.36 : x
  2. Step 2: Convert to fraction form
    188,309.98/259,866.88 = 102,268.36/x
  3. Step 3: Cross multiply
    188,309.98x = 259,866.88 × 102,268.36
  4. Step 4: Simplify right side
    188,309.98x = 26,576,159,635.92
  5. Step 5: Solve for x
    x = 26,576,159,635.92/188,309.98
  6. Step 6: Final answer
    x = 141,129.85

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1.5x scale

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.