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Finding the Fourth Proportional to 259,300, 389,015.70 and 72,311.50

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Solution

The fourth proportional to 259,300, 389,015.70 and 72,311.50 is: 108,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,300 : 389,015.70 = 72,311.50 : x
  2. Step 2: Convert to fraction form
    259,300/389,015.70 = 72,311.50/x
  3. Step 3: Cross multiply
    259,300x = 389,015.70 × 72,311.50
  4. Step 4: Simplify right side
    259,300x = 28,130,308,790.55
  5. Step 5: Solve for x
    x = 28,130,308,790.55/259,300
  6. Step 6: Final answer
    x = 108,485.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.