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Finding the Fourth Proportional to 218,114.96, 301,009.32 and 122,651.60

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Solution

The fourth proportional to 218,114.96, 301,009.32 and 122,651.60 is: 169,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,114.96 : 301,009.32 = 122,651.60 : x
  2. Step 2: Convert to fraction form
    218,114.96/301,009.32 = 122,651.60/x
  3. Step 3: Cross multiply
    218,114.96x = 301,009.32 × 122,651.60
  4. Step 4: Simplify right side
    218,114.96x = 36,919,274,712.91
  5. Step 5: Solve for x
    x = 36,919,274,712.91/218,114.96
  6. Step 6: Final answer
    x = 169,265.21

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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.