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Finding the Fourth Proportional to 138,269, 190,821.72 and 83,837

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Solution

The fourth proportional to 138,269, 190,821.72 and 83,837 is: 115,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,269 : 190,821.72 = 83,837 : x
  2. Step 2: Convert to fraction form
    138,269/190,821.72 = 83,837/x
  3. Step 3: Cross multiply
    138,269x = 190,821.72 × 83,837
  4. Step 4: Simplify right side
    138,269x = 15,997,920,539.64
  5. Step 5: Solve for x
    x = 15,997,920,539.64/138,269
  6. Step 6: Final answer
    x = 115,701.43

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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.