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Finding the Fourth Proportional to 202,955.22, 280,074 and 112,311.12

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Solution

The fourth proportional to 202,955.22, 280,074 and 112,311.12 is: 154,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,955.22 : 280,074 = 112,311.12 : x
  2. Step 2: Convert to fraction form
    202,955.22/280,074 = 112,311.12/x
  3. Step 3: Cross multiply
    202,955.22x = 280,074 × 112,311.12
  4. Step 4: Simplify right side
    202,955.22x = 31,455,424,622.88
  5. Step 5: Solve for x
    x = 31,455,424,622.88/202,955.22
  6. Step 6: Final answer
    x = 154,987.02

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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.