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Finding the Fourth Proportional to 72,912.64, 109,384.22 and 30,792.82

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Solution

The fourth proportional to 72,912.64, 109,384.22 and 30,792.82 is: 46,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,912.64 : 109,384.22 = 30,792.82 : x
  2. Step 2: Convert to fraction form
    72,912.64/109,384.22 = 30,792.82/x
  3. Step 3: Cross multiply
    72,912.64x = 109,384.22 × 30,792.82
  4. Step 4: Simplify right side
    72,912.64x = 3,368,248,597.30
  5. Step 5: Solve for x
    x = 3,368,248,597.30/72,912.64
  6. Step 6: Final answer
    x = 46,195.67

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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.