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Finding the Fourth Proportional to 203,364.26, 280,659.50 and 112,748.65

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Solution

The fourth proportional to 203,364.26, 280,659.50 and 112,748.65 is: 155,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,364.26 : 280,659.50 = 112,748.65 : x
  2. Step 2: Convert to fraction form
    203,364.26/280,659.50 = 112,748.65/x
  3. Step 3: Cross multiply
    203,364.26x = 280,659.50 × 112,748.65
  4. Step 4: Simplify right side
    203,364.26x = 31,643,979,734.68
  5. Step 5: Solve for x
    x = 31,643,979,734.68/203,364.26
  6. Step 6: Final answer
    x = 155,602.46

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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.