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Finding the Fourth Proportional to 151,802, 209,486.88 and 84,734

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Solution

The fourth proportional to 151,802, 209,486.88 and 84,734 is: 116,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,802 : 209,486.88 = 84,734 : x
  2. Step 2: Convert to fraction form
    151,802/209,486.88 = 84,734/x
  3. Step 3: Cross multiply
    151,802x = 209,486.88 × 84,734
  4. Step 4: Simplify right side
    151,802x = 17,750,661,289.92
  5. Step 5: Solve for x
    x = 17,750,661,289.92/151,802
  6. Step 6: Final answer
    x = 116,932.99

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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.