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Finding the Fourth Proportional to 109,643.63, 151,311.87 and 67,193.96

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Solution

The fourth proportional to 109,643.63, 151,311.87 and 67,193.96 is: 92,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.63 : 151,311.87 = 67,193.96 : x
  2. Step 2: Convert to fraction form
    109,643.63/151,311.87 = 67,193.96/x
  3. Step 3: Cross multiply
    109,643.63x = 151,311.87 × 67,193.96
  4. Step 4: Simplify right side
    109,643.63x = 10,167,243,740.31
  5. Step 5: Solve for x
    x = 10,167,243,740.31/109,643.63
  6. Step 6: Final answer
    x = 92,729.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.