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Finding the Fourth Proportional to 218,493.72, 301,550.08 and 123,019.02

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Solution

The fourth proportional to 218,493.72, 301,550.08 and 123,019.02 is: 169,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,493.72 : 301,550.08 = 123,019.02 : x
  2. Step 2: Convert to fraction form
    218,493.72/301,550.08 = 123,019.02/x
  3. Step 3: Cross multiply
    218,493.72x = 301,550.08 × 123,019.02
  4. Step 4: Simplify right side
    218,493.72x = 37,096,395,322.52
  5. Step 5: Solve for x
    x = 37,096,395,322.52/218,493.72
  6. Step 6: Final answer
    x = 169,782.43

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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.