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Finding the Fourth Proportional to 49,984.90, 74,978.70 and 21,890.50

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Solution

The fourth proportional to 49,984.90, 74,978.70 and 21,890.50 is: 32,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984.90 : 74,978.70 = 21,890.50 : x
  2. Step 2: Convert to fraction form
    49,984.90/74,978.70 = 21,890.50/x
  3. Step 3: Cross multiply
    49,984.90x = 74,978.70 × 21,890.50
  4. Step 4: Simplify right side
    49,984.90x = 1,641,321,232.35
  5. Step 5: Solve for x
    x = 1,641,321,232.35/49,984.90
  6. Step 6: Final answer
    x = 32,836.34

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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.