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Finding the Fourth Proportional to 218,564.86, 301,648.23 and 123,090.22

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Solution

The fourth proportional to 218,564.86, 301,648.23 and 123,090.22 is: 169,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,564.86 : 301,648.23 = 123,090.22 : x
  2. Step 2: Convert to fraction form
    218,564.86/301,648.23 = 123,090.22/x
  3. Step 3: Cross multiply
    218,564.86x = 301,648.23 × 123,090.22
  4. Step 4: Simplify right side
    218,564.86x = 37,129,946,993.31
  5. Step 5: Solve for x
    x = 37,129,946,993.31/218,564.86
  6. Step 6: Final answer
    x = 169,880.68

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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.