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Finding the Fourth Proportional to 227,442.39, 340,602.93 and 142,993.05

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Solution

The fourth proportional to 227,442.39, 340,602.93 and 142,993.05 is: 214,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,442.39 : 340,602.93 = 142,993.05 : x
  2. Step 2: Convert to fraction form
    227,442.39/340,602.93 = 142,993.05/x
  3. Step 3: Cross multiply
    227,442.39x = 340,602.93 × 142,993.05
  4. Step 4: Simplify right side
    227,442.39x = 48,703,851,799.64
  5. Step 5: Solve for x
    x = 48,703,851,799.64/227,442.39
  6. Step 6: Final answer
    x = 214,137.09

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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.