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Finding the Fourth Proportional to 30,218, 45,182.76 and 27,571.16

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Solution

The fourth proportional to 30,218, 45,182.76 and 27,571.16 is: 41,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218 : 45,182.76 = 27,571.16 : x
  2. Step 2: Convert to fraction form
    30,218/45,182.76 = 27,571.16/x
  3. Step 3: Cross multiply
    30,218x = 45,182.76 × 27,571.16
  4. Step 4: Simplify right side
    30,218x = 1,245,741,105.20
  5. Step 5: Solve for x
    x = 1,245,741,105.20/30,218
  6. Step 6: Final answer
    x = 41,225.13

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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.