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Finding the Fourth Proportional to 281,182.92, 421,244.64 and 138,861.60

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Solution

The fourth proportional to 281,182.92, 421,244.64 and 138,861.60 is: 208,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,182.92 : 421,244.64 = 138,861.60 : x
  2. Step 2: Convert to fraction form
    281,182.92/421,244.64 = 138,861.60/x
  3. Step 3: Cross multiply
    281,182.92x = 421,244.64 × 138,861.60
  4. Step 4: Simplify right side
    281,182.92x = 58,494,704,701.82
  5. Step 5: Solve for x
    x = 58,494,704,701.82/281,182.92
  6. Step 6: Final answer
    x = 208,030.79

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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.