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Finding the Fourth Proportional to 209,683.76, 289,358.28 and 120,254

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Solution

The fourth proportional to 209,683.76, 289,358.28 and 120,254 is: 165,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,683.76 : 289,358.28 = 120,254 : x
  2. Step 2: Convert to fraction form
    209,683.76/289,358.28 = 120,254/x
  3. Step 3: Cross multiply
    209,683.76x = 289,358.28 × 120,254
  4. Step 4: Simplify right side
    209,683.76x = 34,796,490,603.12
  5. Step 5: Solve for x
    x = 34,796,490,603.12/209,683.76
  6. Step 6: Final answer
    x = 165,947.48

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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.