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Finding the Fourth Proportional to 202,980.14, 280,106.88 and 112,339.88

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Solution

The fourth proportional to 202,980.14, 280,106.88 and 112,339.88 is: 155,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,980.14 : 280,106.88 = 112,339.88 : x
  2. Step 2: Convert to fraction form
    202,980.14/280,106.88 = 112,339.88/x
  3. Step 3: Cross multiply
    202,980.14x = 280,106.88 × 112,339.88
  4. Step 4: Simplify right side
    202,980.14x = 31,467,173,286.37
  5. Step 5: Solve for x
    x = 31,467,173,286.37/202,980.14
  6. Step 6: Final answer
    x = 155,025.87

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1.5x scale

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.