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Finding the Fourth Proportional to 202,190.96, 279,024.45 and 111,548

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Solution

The fourth proportional to 202,190.96, 279,024.45 and 111,548 is: 153,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,190.96 : 279,024.45 = 111,548 : x
  2. Step 2: Convert to fraction form
    202,190.96/279,024.45 = 111,548/x
  3. Step 3: Cross multiply
    202,190.96x = 279,024.45 × 111,548
  4. Step 4: Simplify right side
    202,190.96x = 31,124,619,348.60
  5. Step 5: Solve for x
    x = 31,124,619,348.60/202,190.96
  6. Step 6: Final answer
    x = 153,936.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.