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Finding the Fourth Proportional to 218,537.36, 301,590.86 and 121,741.10

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Solution

The fourth proportional to 218,537.36, 301,590.86 and 121,741.10 is: 168,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,537.36 : 301,590.86 = 121,741.10 : x
  2. Step 2: Convert to fraction form
    218,537.36/301,590.86 = 121,741.10/x
  3. Step 3: Cross multiply
    218,537.36x = 301,590.86 × 121,741.10
  4. Step 4: Simplify right side
    218,537.36x = 36,716,003,046.35
  5. Step 5: Solve for x
    x = 36,716,003,046.35/218,537.36
  6. Step 6: Final answer
    x = 168,007.90

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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.