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Finding the Fourth Proportional to 202,379.72, 279,271.80 and 111,733.40

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Solution

The fourth proportional to 202,379.72, 279,271.80 and 111,733.40 is: 154,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,379.72 : 279,271.80 = 111,733.40 : x
  2. Step 2: Convert to fraction form
    202,379.72/279,271.80 = 111,733.40/x
  3. Step 3: Cross multiply
    202,379.72x = 279,271.80 × 111,733.40
  4. Step 4: Simplify right side
    202,379.72x = 31,203,987,738.12
  5. Step 5: Solve for x
    x = 31,203,987,738.12/202,379.72
  6. Step 6: Final answer
    x = 154,185.35

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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.