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Finding the Fourth Proportional to 77,200.96, 115,710.72 and 32,800

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Solution

The fourth proportional to 77,200.96, 115,710.72 and 32,800 is: 49,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,200.96 : 115,710.72 = 32,800 : x
  2. Step 2: Convert to fraction form
    77,200.96/115,710.72 = 32,800/x
  3. Step 3: Cross multiply
    77,200.96x = 115,710.72 × 32,800
  4. Step 4: Simplify right side
    77,200.96x = 3,795,311,616
  5. Step 5: Solve for x
    x = 3,795,311,616/77,200.96
  6. Step 6: Final answer
    x = 49,161.46

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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.