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Finding the Fourth Proportional to 203,041, 280,323.68 and 130,473.28

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Solution

The fourth proportional to 203,041, 280,323.68 and 130,473.28 is: 180,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,041 : 280,323.68 = 130,473.28 : x
  2. Step 2: Convert to fraction form
    203,041/280,323.68 = 130,473.28/x
  3. Step 3: Cross multiply
    203,041x = 280,323.68 × 130,473.28
  4. Step 4: Simplify right side
    203,041x = 36,574,749,991.27
  5. Step 5: Solve for x
    x = 36,574,749,991.27/203,041
  6. Step 6: Final answer
    x = 180,134.80

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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.