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Finding the Fourth Proportional to 131,056, 180,861.12 and 74,469.76

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Solution

The fourth proportional to 131,056, 180,861.12 and 74,469.76 is: 102,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,056 : 180,861.12 = 74,469.76 : x
  2. Step 2: Convert to fraction form
    131,056/180,861.12 = 74,469.76/x
  3. Step 3: Cross multiply
    131,056x = 180,861.12 × 74,469.76
  4. Step 4: Simplify right side
    131,056x = 13,468,684,199.73
  5. Step 5: Solve for x
    x = 13,468,684,199.73/131,056
  6. Step 6: Final answer
    x = 102,770.45

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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.