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Finding the Fourth Proportional to 218,713.10, 301,824.09 and 123,219.77

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Solution

The fourth proportional to 218,713.10, 301,824.09 and 123,219.77 is: 170,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,713.10 : 301,824.09 = 123,219.77 : x
  2. Step 2: Convert to fraction form
    218,713.10/301,824.09 = 123,219.77/x
  3. Step 3: Cross multiply
    218,713.10x = 301,824.09 × 123,219.77
  4. Step 4: Simplify right side
    218,713.10x = 37,190,693,441.14
  5. Step 5: Solve for x
    x = 37,190,693,441.14/218,713.10
  6. Step 6: Final answer
    x = 170,043.29

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1.5x scale

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.