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Finding the Fourth Proportional to 138,272, 190,825.86 and 83,840

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Solution

The fourth proportional to 138,272, 190,825.86 and 83,840 is: 115,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,272 : 190,825.86 = 83,840 : x
  2. Step 2: Convert to fraction form
    138,272/190,825.86 = 83,840/x
  3. Step 3: Cross multiply
    138,272x = 190,825.86 × 83,840
  4. Step 4: Simplify right side
    138,272x = 15,998,840,102.40
  5. Step 5: Solve for x
    x = 15,998,840,102.40/138,272
  6. Step 6: Final answer
    x = 115,705.57

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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.