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Finding the Fourth Proportional to 43,297.95, 64,969.74 and 30,728.91

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Solution

The fourth proportional to 43,297.95, 64,969.74 and 30,728.91 is: 46,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,297.95 : 64,969.74 = 30,728.91 : x
  2. Step 2: Convert to fraction form
    43,297.95/64,969.74 = 30,728.91/x
  3. Step 3: Cross multiply
    43,297.95x = 64,969.74 × 30,728.91
  4. Step 4: Simplify right side
    43,297.95x = 1,996,449,293.18
  5. Step 5: Solve for x
    x = 1,996,449,293.18/43,297.95
  6. Step 6: Final answer
    x = 46,109.56

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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.