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Finding the Fourth Proportional to 259,268.50, 357,790.77 and 140,036.50

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Solution

The fourth proportional to 259,268.50, 357,790.77 and 140,036.50 is: 193,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,268.50 : 357,790.77 = 140,036.50 : x
  2. Step 2: Convert to fraction form
    259,268.50/357,790.77 = 140,036.50/x
  3. Step 3: Cross multiply
    259,268.50x = 357,790.77 × 140,036.50
  4. Step 4: Simplify right side
    259,268.50x = 50,103,767,163.11
  5. Step 5: Solve for x
    x = 50,103,767,163.11/259,268.50
  6. Step 6: Final answer
    x = 193,250.50

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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.