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Finding the Fourth Proportional to 138,354.10, 190,929.03 and 80,983

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Solution

The fourth proportional to 138,354.10, 190,929.03 and 80,983 is: 111,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,354.10 : 190,929.03 = 80,983 : x
  2. Step 2: Convert to fraction form
    138,354.10/190,929.03 = 80,983/x
  3. Step 3: Cross multiply
    138,354.10x = 190,929.03 × 80,983
  4. Step 4: Simplify right side
    138,354.10x = 15,462,005,636.49
  5. Step 5: Solve for x
    x = 15,462,005,636.49/138,354.10
  6. Step 6: Final answer
    x = 111,756.76

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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.