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Finding the Fourth Proportional to 72,268.84, 108,329.14 and 27,878.14

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Solution

The fourth proportional to 72,268.84, 108,329.14 and 27,878.14 is: 41,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,268.84 : 108,329.14 = 27,878.14 : x
  2. Step 2: Convert to fraction form
    72,268.84/108,329.14 = 27,878.14/x
  3. Step 3: Cross multiply
    72,268.84x = 108,329.14 × 27,878.14
  4. Step 4: Simplify right side
    72,268.84x = 3,020,014,931.00
  5. Step 5: Solve for x
    x = 3,020,014,931.00/72,268.84
  6. Step 6: Final answer
    x = 41,788.62

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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.