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Finding the Fourth Proportional to 209,361.76, 288,960.72 and 118,719.52

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Solution

The fourth proportional to 209,361.76, 288,960.72 and 118,719.52 is: 163,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,361.76 : 288,960.72 = 118,719.52 : x
  2. Step 2: Convert to fraction form
    209,361.76/288,960.72 = 118,719.52/x
  3. Step 3: Cross multiply
    209,361.76x = 288,960.72 × 118,719.52
  4. Step 4: Simplify right side
    209,361.76x = 34,305,277,977.25
  5. Step 5: Solve for x
    x = 34,305,277,977.25/209,361.76
  6. Step 6: Final answer
    x = 163,856.47

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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.