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Finding the Fourth Proportional to 151,770, 209,427.63 and 83,782.56

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Solution

The fourth proportional to 151,770, 209,427.63 and 83,782.56 is: 115,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,770 : 209,427.63 = 83,782.56 : x
  2. Step 2: Convert to fraction form
    151,770/209,427.63 = 83,782.56/x
  3. Step 3: Cross multiply
    151,770x = 209,427.63 × 83,782.56
  4. Step 4: Simplify right side
    151,770x = 17,546,382,976.13
  5. Step 5: Solve for x
    x = 17,546,382,976.13/151,770
  6. Step 6: Final answer
    x = 115,611.67

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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.