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Finding the Fourth Proportional to 30,429.75, 42,046.71 and 23,416.77

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Solution

The fourth proportional to 30,429.75, 42,046.71 and 23,416.77 is: 32,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.75 : 42,046.71 = 23,416.77 : x
  2. Step 2: Convert to fraction form
    30,429.75/42,046.71 = 23,416.77/x
  3. Step 3: Cross multiply
    30,429.75x = 42,046.71 × 23,416.77
  4. Step 4: Simplify right side
    30,429.75x = 984,598,137.33
  5. Step 5: Solve for x
    x = 984,598,137.33/30,429.75
  6. Step 6: Final answer
    x = 32,356.43

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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.