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Finding the Fourth Proportional to 223,989.44, 309,051.68 and 127,171.84

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Solution

The fourth proportional to 223,989.44, 309,051.68 and 127,171.84 is: 175,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,989.44 : 309,051.68 = 127,171.84 : x
  2. Step 2: Convert to fraction form
    223,989.44/309,051.68 = 127,171.84/x
  3. Step 3: Cross multiply
    223,989.44x = 309,051.68 × 127,171.84
  4. Step 4: Simplify right side
    223,989.44x = 39,302,670,800.69
  5. Step 5: Solve for x
    x = 39,302,670,800.69/223,989.44
  6. Step 6: Final answer
    x = 175,466.62

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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.