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Finding the Fourth Proportional to 66,985, 100,477.50 and 27,563.56

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Solution

The fourth proportional to 66,985, 100,477.50 and 27,563.56 is: 41,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,985 : 100,477.50 = 27,563.56 : x
  2. Step 2: Convert to fraction form
    66,985/100,477.50 = 27,563.56/x
  3. Step 3: Cross multiply
    66,985x = 100,477.50 × 27,563.56
  4. Step 4: Simplify right side
    66,985x = 2,769,517,599.90
  5. Step 5: Solve for x
    x = 2,769,517,599.90/66,985
  6. Step 6: Final answer
    x = 41,345.34

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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.