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Finding the Fourth Proportional to 202,959.40, 280,079.78 and 112,315.30

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Solution

The fourth proportional to 202,959.40, 280,079.78 and 112,315.30 is: 154,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959.40 : 280,079.78 = 112,315.30 : x
  2. Step 2: Convert to fraction form
    202,959.40/280,079.78 = 112,315.30/x
  3. Step 3: Cross multiply
    202,959.40x = 280,079.78 × 112,315.30
  4. Step 4: Simplify right side
    202,959.40x = 31,457,244,514.63
  5. Step 5: Solve for x
    x = 31,457,244,514.63/202,959.40
  6. Step 6: Final answer
    x = 154,992.79

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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.