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Finding the Fourth Proportional to 72,828.44, 109,211.76 and 30,727.40

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Solution

The fourth proportional to 72,828.44, 109,211.76 and 30,727.40 is: 46,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828.44 : 109,211.76 = 30,727.40 : x
  2. Step 2: Convert to fraction form
    72,828.44/109,211.76 = 30,727.40/x
  3. Step 3: Cross multiply
    72,828.44x = 109,211.76 × 30,727.40
  4. Step 4: Simplify right side
    72,828.44x = 3,355,793,434.22
  5. Step 5: Solve for x
    x = 3,355,793,434.22/72,828.44
  6. Step 6: Final answer
    x = 46,078.06

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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.