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Finding the Fourth Proportional to 30,744.53, 42,429.51 and 23,177.51

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Solution

The fourth proportional to 30,744.53, 42,429.51 and 23,177.51 is: 31,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.53 : 42,429.51 = 23,177.51 : x
  2. Step 2: Convert to fraction form
    30,744.53/42,429.51 = 23,177.51/x
  3. Step 3: Cross multiply
    30,744.53x = 42,429.51 × 23,177.51
  4. Step 4: Simplify right side
    30,744.53x = 983,410,180.17
  5. Step 5: Solve for x
    x = 983,410,180.17/30,744.53
  6. Step 6: Final answer
    x = 31,986.51

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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.