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Finding the Fourth Proportional to 151,518, 209,101.32 and 84,450

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Solution

The fourth proportional to 151,518, 209,101.32 and 84,450 is: 116,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,518 : 209,101.32 = 84,450 : x
  2. Step 2: Convert to fraction form
    151,518/209,101.32 = 84,450/x
  3. Step 3: Cross multiply
    151,518x = 209,101.32 × 84,450
  4. Step 4: Simplify right side
    151,518x = 17,658,606,474
  5. Step 5: Solve for x
    x = 17,658,606,474/151,518
  6. Step 6: Final answer
    x = 116,544.61

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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.