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Finding the Fourth Proportional to 256,661.64, 385,057.92 and 106,852.08

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Solution

The fourth proportional to 256,661.64, 385,057.92 and 106,852.08 is: 160,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,661.64 : 385,057.92 = 106,852.08 : x
  2. Step 2: Convert to fraction form
    256,661.64/385,057.92 = 106,852.08/x
  3. Step 3: Cross multiply
    256,661.64x = 385,057.92 × 106,852.08
  4. Step 4: Simplify right side
    256,661.64x = 41,144,239,672.47
  5. Step 5: Solve for x
    x = 41,144,239,672.47/256,661.64
  6. Step 6: Final answer
    x = 160,305.37

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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.