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Finding the Fourth Proportional to 72,300, 108,450 and 27,946.56

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Solution

The fourth proportional to 72,300, 108,450 and 27,946.56 is: 41,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,300 : 108,450 = 27,946.56 : x
  2. Step 2: Convert to fraction form
    72,300/108,450 = 27,946.56/x
  3. Step 3: Cross multiply
    72,300x = 108,450 × 27,946.56
  4. Step 4: Simplify right side
    72,300x = 3,030,804,432
  5. Step 5: Solve for x
    x = 3,030,804,432/72,300
  6. Step 6: Final answer
    x = 41,919.84

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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.