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Finding the Fourth Proportional to 201,725.80, 303,244.80 and 142,968.40

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Solution

The fourth proportional to 201,725.80, 303,244.80 and 142,968.40 is: 214,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,725.80 : 303,244.80 = 142,968.40 : x
  2. Step 2: Convert to fraction form
    201,725.80/303,244.80 = 142,968.40/x
  3. Step 3: Cross multiply
    201,725.80x = 303,244.80 × 142,968.40
  4. Step 4: Simplify right side
    201,725.80x = 43,354,423,864.32
  5. Step 5: Solve for x
    x = 43,354,423,864.32/201,725.80
  6. Step 6: Final answer
    x = 214,917.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.