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Finding the Fourth Proportional to 138,383.64, 190,971.54 and 81,800.28

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Solution

The fourth proportional to 138,383.64, 190,971.54 and 81,800.28 is: 112,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,383.64 : 190,971.54 = 81,800.28 : x
  2. Step 2: Convert to fraction form
    138,383.64/190,971.54 = 81,800.28/x
  3. Step 3: Cross multiply
    138,383.64x = 190,971.54 × 81,800.28
  4. Step 4: Simplify right side
    138,383.64x = 15,621,525,444.03
  5. Step 5: Solve for x
    x = 15,621,525,444.03/138,383.64
  6. Step 6: Final answer
    x = 112,885.64

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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.