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Finding the Fourth Proportional to 256,741.37, 385,120.84 and 88,260.26

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Solution

The fourth proportional to 256,741.37, 385,120.84 and 88,260.26 is: 132,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,741.37 : 385,120.84 = 88,260.26 : x
  2. Step 2: Convert to fraction form
    256,741.37/385,120.84 = 88,260.26/x
  3. Step 3: Cross multiply
    256,741.37x = 385,120.84 × 88,260.26
  4. Step 4: Simplify right side
    256,741.37x = 33,990,865,098.74
  5. Step 5: Solve for x
    x = 33,990,865,098.74/256,741.37
  6. Step 6: Final answer
    x = 132,393.41

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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.