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Finding the Fourth Proportional to 203,624.08, 280,742.88 and 145,550.32

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Solution

The fourth proportional to 203,624.08, 280,742.88 and 145,550.32 is: 200,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,624.08 : 280,742.88 = 145,550.32 : x
  2. Step 2: Convert to fraction form
    203,624.08/280,742.88 = 145,550.32/x
  3. Step 3: Cross multiply
    203,624.08x = 280,742.88 × 145,550.32
  4. Step 4: Simplify right side
    203,624.08x = 40,862,216,021.72
  5. Step 5: Solve for x
    x = 40,862,216,021.72/203,624.08
  6. Step 6: Final answer
    x = 200,674.77

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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.