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Finding the Fourth Proportional to 218,493.86, 301,527.36 and 123,004.17

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Solution

The fourth proportional to 218,493.86, 301,527.36 and 123,004.17 is: 169,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,493.86 : 301,527.36 = 123,004.17 : x
  2. Step 2: Convert to fraction form
    218,493.86/301,527.36 = 123,004.17/x
  3. Step 3: Cross multiply
    218,493.86x = 301,527.36 × 123,004.17
  4. Step 4: Simplify right side
    218,493.86x = 37,089,122,649.09
  5. Step 5: Solve for x
    x = 37,089,122,649.09/218,493.86
  6. Step 6: Final answer
    x = 169,749.04

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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.