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Finding the Fourth Proportional to 256,665.26, 384,739.40 and 106,988.40

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Solution

The fourth proportional to 256,665.26, 384,739.40 and 106,988.40 is: 160,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,665.26 : 384,739.40 = 106,988.40 : x
  2. Step 2: Convert to fraction form
    256,665.26/384,739.40 = 106,988.40/x
  3. Step 3: Cross multiply
    256,665.26x = 384,739.40 × 106,988.40
  4. Step 4: Simplify right side
    256,665.26x = 41,162,652,822.96
  5. Step 5: Solve for x
    x = 41,162,652,822.96/256,665.26
  6. Step 6: Final answer
    x = 160,374.85

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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.