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Finding the Fourth Proportional to 210,323.20, 315,571.20 and 77,267.20

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Solution

The fourth proportional to 210,323.20, 315,571.20 and 77,267.20 is: 115,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,323.20 : 315,571.20 = 77,267.20 : x
  2. Step 2: Convert to fraction form
    210,323.20/315,571.20 = 77,267.20/x
  3. Step 3: Cross multiply
    210,323.20x = 315,571.20 × 77,267.20
  4. Step 4: Simplify right side
    210,323.20x = 24,383,303,024.64
  5. Step 5: Solve for x
    x = 24,383,303,024.64/210,323.20
  6. Step 6: Final answer
    x = 115,932.54

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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.