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Finding the Fourth Proportional to 256,543.08, 384,827.58 and 79,171.44

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Solution

The fourth proportional to 256,543.08, 384,827.58 and 79,171.44 is: 118,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,543.08 : 384,827.58 = 79,171.44 : x
  2. Step 2: Convert to fraction form
    256,543.08/384,827.58 = 79,171.44/x
  3. Step 3: Cross multiply
    256,543.08x = 384,827.58 × 79,171.44
  4. Step 4: Simplify right side
    256,543.08x = 30,467,353,660.32
  5. Step 5: Solve for x
    x = 30,467,353,660.32/256,543.08
  6. Step 6: Final answer
    x = 118,761.16

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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.