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Finding the Fourth Proportional to 199,015.64, 298,640.10 and 142,795.16

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Solution

The fourth proportional to 199,015.64, 298,640.10 and 142,795.16 is: 214,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,015.64 : 298,640.10 = 142,795.16 : x
  2. Step 2: Convert to fraction form
    199,015.64/298,640.10 = 142,795.16/x
  3. Step 3: Cross multiply
    199,015.64x = 298,640.10 × 142,795.16
  4. Step 4: Simplify right side
    199,015.64x = 42,644,358,654.74
  5. Step 5: Solve for x
    x = 42,644,358,654.74/199,015.64
  6. Step 6: Final answer
    x = 214,276.42

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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.