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Finding the Fourth Proportional to 209,803.64, 289,638.68 and 163,764.56

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Solution

The fourth proportional to 209,803.64, 289,638.68 and 163,764.56 is: 226,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803.64 : 289,638.68 = 163,764.56 : x
  2. Step 2: Convert to fraction form
    209,803.64/289,638.68 = 163,764.56/x
  3. Step 3: Cross multiply
    209,803.64x = 289,638.68 × 163,764.56
  4. Step 4: Simplify right side
    209,803.64x = 47,432,548,722.16
  5. Step 5: Solve for x
    x = 47,432,548,722.16/209,803.64
  6. Step 6: Final answer
    x = 226,080.68

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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.