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Finding the Fourth Proportional to 204,493.79, 282,128.40 and 118,405.79

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Solution

The fourth proportional to 204,493.79, 282,128.40 and 118,405.79 is: 163,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493.79 : 282,128.40 = 118,405.79 : x
  2. Step 2: Convert to fraction form
    204,493.79/282,128.40 = 118,405.79/x
  3. Step 3: Cross multiply
    204,493.79x = 282,128.40 × 118,405.79
  4. Step 4: Simplify right side
    204,493.79x = 33,405,636,524.26
  5. Step 5: Solve for x
    x = 33,405,636,524.26/204,493.79
  6. Step 6: Final answer
    x = 163,357.70

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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.