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Finding the Fourth Proportional to 151,902.30, 209,624.51 and 83,919.29

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Solution

The fourth proportional to 151,902.30, 209,624.51 and 83,919.29 is: 115,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,902.30 : 209,624.51 = 83,919.29 : x
  2. Step 2: Convert to fraction form
    151,902.30/209,624.51 = 83,919.29/x
  3. Step 3: Cross multiply
    151,902.30x = 209,624.51 × 83,919.29
  4. Step 4: Simplify right side
    151,902.30x = 17,591,539,914.57
  5. Step 5: Solve for x
    x = 17,591,539,914.57/151,902.30
  6. Step 6: Final answer
    x = 115,808.25

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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.