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Finding the Fourth Proportional to 256,790.86, 385,320.61 and 105,100.54

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Solution

The fourth proportional to 256,790.86, 385,320.61 and 105,100.54 is: 157,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,790.86 : 385,320.61 = 105,100.54 : x
  2. Step 2: Convert to fraction form
    256,790.86/385,320.61 = 105,100.54/x
  3. Step 3: Cross multiply
    256,790.86x = 385,320.61 × 105,100.54
  4. Step 4: Simplify right side
    256,790.86x = 40,497,403,352.20
  5. Step 5: Solve for x
    x = 40,497,403,352.20/256,790.86
  6. Step 6: Final answer
    x = 157,705.78

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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.