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Finding the Fourth Proportional to 209,753, 289,568.58 and 163,082.38

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Solution

The fourth proportional to 209,753, 289,568.58 and 163,082.38 is: 225,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,753 : 289,568.58 = 163,082.38 : x
  2. Step 2: Convert to fraction form
    209,753/289,568.58 = 163,082.38/x
  3. Step 3: Cross multiply
    209,753x = 289,568.58 × 163,082.38
  4. Step 4: Simplify right side
    209,753x = 47,223,533,199.62
  5. Step 5: Solve for x
    x = 47,223,533,199.62/209,753
  6. Step 6: Final answer
    x = 225,138.77

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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.