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Finding the Fourth Proportional to 256,724.56, 385,152.72 and 106,915.06

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Solution

The fourth proportional to 256,724.56, 385,152.72 and 106,915.06 is: 160,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,724.56 : 385,152.72 = 106,915.06 : x
  2. Step 2: Convert to fraction form
    256,724.56/385,152.72 = 106,915.06/x
  3. Step 3: Cross multiply
    256,724.56x = 385,152.72 × 106,915.06
  4. Step 4: Simplify right side
    256,724.56x = 41,178,626,167.96
  5. Step 5: Solve for x
    x = 41,178,626,167.96/256,724.56
  6. Step 6: Final answer
    x = 160,400.03

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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.