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Finding the Fourth Proportional to 256,657.56, 385,052.04 and 106,848.06

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Solution

The fourth proportional to 256,657.56, 385,052.04 and 106,848.06 is: 160,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,657.56 : 385,052.04 = 106,848.06 : x
  2. Step 2: Convert to fraction form
    256,657.56/385,052.04 = 106,848.06/x
  3. Step 3: Cross multiply
    256,657.56x = 385,052.04 × 106,848.06
  4. Step 4: Simplify right side
    256,657.56x = 41,142,063,473.04
  5. Step 5: Solve for x
    x = 41,142,063,473.04/256,657.56
  6. Step 6: Final answer
    x = 160,299.44

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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.