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Finding the Fourth Proportional to 66,984.22, 100,478.76 and 20,237.50

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Solution

The fourth proportional to 66,984.22, 100,478.76 and 20,237.50 is: 30,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,984.22 : 100,478.76 = 20,237.50 : x
  2. Step 2: Convert to fraction form
    66,984.22/100,478.76 = 20,237.50/x
  3. Step 3: Cross multiply
    66,984.22x = 100,478.76 × 20,237.50
  4. Step 4: Simplify right side
    66,984.22x = 2,033,438,905.50
  5. Step 5: Solve for x
    x = 2,033,438,905.50/66,984.22
  6. Step 6: Final answer
    x = 30,356.98

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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.