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Finding the Fourth Proportional to 218,823, 301,975.92 and 118,221

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Solution

The fourth proportional to 218,823, 301,975.92 and 118,221 is: 163,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,823 : 301,975.92 = 118,221 : x
  2. Step 2: Convert to fraction form
    218,823/301,975.92 = 118,221/x
  3. Step 3: Cross multiply
    218,823x = 301,975.92 × 118,221
  4. Step 4: Simplify right side
    218,823x = 35,699,895,238.32
  5. Step 5: Solve for x
    x = 35,699,895,238.32/218,823
  6. Step 6: Final answer
    x = 163,145.08

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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.