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Finding the Fourth Proportional to 212,937.73, 319,012.93 and 107,504.89

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Solution

The fourth proportional to 212,937.73, 319,012.93 and 107,504.89 is: 161,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,937.73 : 319,012.93 = 107,504.89 : x
  2. Step 2: Convert to fraction form
    212,937.73/319,012.93 = 107,504.89/x
  3. Step 3: Cross multiply
    212,937.73x = 319,012.93 × 107,504.89
  4. Step 4: Simplify right side
    212,937.73x = 34,295,449,285.08
  5. Step 5: Solve for x
    x = 34,295,449,285.08/212,937.73
  6. Step 6: Final answer
    x = 161,058.59

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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.