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Finding the Fourth Proportional to 81,200.63, 121,798.22 and 28,608.75

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Solution

The fourth proportional to 81,200.63, 121,798.22 and 28,608.75 is: 42,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,200.63 : 121,798.22 = 28,608.75 : x
  2. Step 2: Convert to fraction form
    81,200.63/121,798.22 = 28,608.75/x
  3. Step 3: Cross multiply
    81,200.63x = 121,798.22 × 28,608.75
  4. Step 4: Simplify right side
    81,200.63x = 3,484,494,683.38
  5. Step 5: Solve for x
    x = 3,484,494,683.38/81,200.63
  6. Step 6: Final answer
    x = 42,912.16

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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.