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Finding the Fourth Proportional to 103,156.20, 154,750.32 and 43,992

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Solution

The fourth proportional to 103,156.20, 154,750.32 and 43,992 is: 65,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,156.20 : 154,750.32 = 43,992 : x
  2. Step 2: Convert to fraction form
    103,156.20/154,750.32 = 43,992/x
  3. Step 3: Cross multiply
    103,156.20x = 154,750.32 × 43,992
  4. Step 4: Simplify right side
    103,156.20x = 6,807,776,077.44
  5. Step 5: Solve for x
    x = 6,807,776,077.44/103,156.20
  6. Step 6: Final answer
    x = 65,994.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.