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Finding the Fourth Proportional to 256,670.88, 385,071.92 and 106,861.38

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Solution

The fourth proportional to 256,670.88, 385,071.92 and 106,861.38 is: 160,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,670.88 : 385,071.92 = 106,861.38 : x
  2. Step 2: Convert to fraction form
    256,670.88/385,071.92 = 106,861.38/x
  3. Step 3: Cross multiply
    256,670.88x = 385,071.92 × 106,861.38
  4. Step 4: Simplify right side
    256,670.88x = 41,149,316,236.14
  5. Step 5: Solve for x
    x = 41,149,316,236.14/256,670.88
  6. Step 6: Final answer
    x = 160,319.38

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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.