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Finding the Fourth Proportional to 231,978.26, 347,840.76 and 69,848.66

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Solution

The fourth proportional to 231,978.26, 347,840.76 and 69,848.66 is: 104,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,978.26 : 347,840.76 = 69,848.66 : x
  2. Step 2: Convert to fraction form
    231,978.26/347,840.76 = 69,848.66/x
  3. Step 3: Cross multiply
    231,978.26x = 347,840.76 × 69,848.66
  4. Step 4: Simplify right side
    231,978.26x = 24,296,210,979.38
  5. Step 5: Solve for x
    x = 24,296,210,979.38/231,978.26
  6. Step 6: Final answer
    x = 104,734.86

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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.