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Finding the Fourth Proportional to 212,783.48, 293,654.34 and 117,289.96

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Solution

The fourth proportional to 212,783.48, 293,654.34 and 117,289.96 is: 161,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,783.48 : 293,654.34 = 117,289.96 : x
  2. Step 2: Convert to fraction form
    212,783.48/293,654.34 = 117,289.96/x
  3. Step 3: Cross multiply
    212,783.48x = 293,654.34 × 117,289.96
  4. Step 4: Simplify right side
    212,783.48x = 34,442,705,792.43
  5. Step 5: Solve for x
    x = 34,442,705,792.43/212,783.48
  6. Step 6: Final answer
    x = 161,867.39

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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.