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Finding the Fourth Proportional to 202,955.40, 280,074.26 and 112,311.31

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Solution

The fourth proportional to 202,955.40, 280,074.26 and 112,311.31 is: 154,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,955.40 : 280,074.26 = 112,311.31 : x
  2. Step 2: Convert to fraction form
    202,955.40/280,074.26 = 112,311.31/x
  3. Step 3: Cross multiply
    202,955.40x = 280,074.26 × 112,311.31
  4. Step 4: Simplify right side
    202,955.40x = 31,455,507,037.88
  5. Step 5: Solve for x
    x = 31,455,507,037.88/202,955.40
  6. Step 6: Final answer
    x = 154,987.29

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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.