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Finding the Fourth Proportional to 111,059.61, 166,415.06 and 75,537.87

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Solution

The fourth proportional to 111,059.61, 166,415.06 and 75,537.87 is: 113,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,059.61 : 166,415.06 = 75,537.87 : x
  2. Step 2: Convert to fraction form
    111,059.61/166,415.06 = 75,537.87/x
  3. Step 3: Cross multiply
    111,059.61x = 166,415.06 × 75,537.87
  4. Step 4: Simplify right side
    111,059.61x = 12,570,638,790.63
  5. Step 5: Solve for x
    x = 12,570,638,790.63/111,059.61
  6. Step 6: Final answer
    x = 113,188.21

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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.