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Finding the Fourth Proportional to 185,861.67, 256,492.26 and 100,978.80

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Solution

The fourth proportional to 185,861.67, 256,492.26 and 100,978.80 is: 139,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,861.67 : 256,492.26 = 100,978.80 : x
  2. Step 2: Convert to fraction form
    185,861.67/256,492.26 = 100,978.80/x
  3. Step 3: Cross multiply
    185,861.67x = 256,492.26 × 100,978.80
  4. Step 4: Simplify right side
    185,861.67x = 25,900,280,624.09
  5. Step 5: Solve for x
    x = 25,900,280,624.09/185,861.67
  6. Step 6: Final answer
    x = 139,352.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.