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Finding the Fourth Proportional to 27,978,543.56, 41,973,472.74 and 11,804,534.84

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Solution

The fourth proportional to 27,978,543.56, 41,973,472.74 and 11,804,534.84 is: 17,709,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978,543.56 : 41,973,472.74 = 11,804,534.84 : x
  2. Step 2: Convert to fraction form
    27,978,543.56/41,973,472.74 = 11,804,534.84/x
  3. Step 3: Cross multiply
    27,978,543.56x = 41,973,472.74 × 11,804,534.84
  4. Step 4: Simplify right side
    27,978,543.56x = 495,477,321,315,120.25
  5. Step 5: Solve for x
    x = 495,477,321,315,120.25/27,978,543.56
  6. Step 6: Final answer
    x = 17,709,189.20

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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.