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Finding the Fourth Proportional to 74,969.28, 112,448.16 and 30,584.16

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Solution

The fourth proportional to 74,969.28, 112,448.16 and 30,584.16 is: 45,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,969.28 : 112,448.16 = 30,584.16 : x
  2. Step 2: Convert to fraction form
    74,969.28/112,448.16 = 30,584.16/x
  3. Step 3: Cross multiply
    74,969.28x = 112,448.16 × 30,584.16
  4. Step 4: Simplify right side
    74,969.28x = 3,439,132,517.15
  5. Step 5: Solve for x
    x = 3,439,132,517.15/74,969.28
  6. Step 6: Final answer
    x = 45,873.89

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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.