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Finding the Fourth Proportional to 203,065.92, 280,378.80 and 163,000.08

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Solution

The fourth proportional to 203,065.92, 280,378.80 and 163,000.08 is: 225,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,065.92 : 280,378.80 = 163,000.08 : x
  2. Step 2: Convert to fraction form
    203,065.92/280,378.80 = 163,000.08/x
  3. Step 3: Cross multiply
    203,065.92x = 280,378.80 × 163,000.08
  4. Step 4: Simplify right side
    203,065.92x = 45,701,766,830.30
  5. Step 5: Solve for x
    x = 45,701,766,830.30/203,065.92
  6. Step 6: Final answer
    x = 225,058.77

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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.