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Finding the Fourth Proportional to 30,178.17, 41,523.84 and 29,405.43

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Solution

The fourth proportional to 30,178.17, 41,523.84 and 29,405.43 is: 40,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.17 : 41,523.84 = 29,405.43 : x
  2. Step 2: Convert to fraction form
    30,178.17/41,523.84 = 29,405.43/x
  3. Step 3: Cross multiply
    30,178.17x = 41,523.84 × 29,405.43
  4. Step 4: Simplify right side
    30,178.17x = 1,221,026,370.45
  5. Step 5: Solve for x
    x = 1,221,026,370.45/30,178.17
  6. Step 6: Final answer
    x = 40,460.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.