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Finding the Fourth Proportional to 259,611.50, 358,263.87 and 140,379.50

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Solution

The fourth proportional to 259,611.50, 358,263.87 and 140,379.50 is: 193,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,611.50 : 358,263.87 = 140,379.50 : x
  2. Step 2: Convert to fraction form
    259,611.50/358,263.87 = 140,379.50/x
  3. Step 3: Cross multiply
    259,611.50x = 358,263.87 × 140,379.50
  4. Step 4: Simplify right side
    259,611.50x = 50,292,902,938.67
  5. Step 5: Solve for x
    x = 50,292,902,938.67/259,611.50
  6. Step 6: Final answer
    x = 193,723.71

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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.