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Finding the Fourth Proportional to 151,906.90, 209,643.78 and 83,929.84

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Solution

The fourth proportional to 151,906.90, 209,643.78 and 83,929.84 is: 115,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,906.90 : 209,643.78 = 83,929.84 : x
  2. Step 2: Convert to fraction form
    151,906.90/209,643.78 = 83,929.84/x
  3. Step 3: Cross multiply
    151,906.90x = 209,643.78 × 83,929.84
  4. Step 4: Simplify right side
    151,906.90x = 17,595,368,912.40
  5. Step 5: Solve for x
    x = 17,595,368,912.40/151,906.90
  6. Step 6: Final answer
    x = 115,829.95

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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.