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Finding the Fourth Proportional to 281,006.76, 421,676.10 and 103,637.64

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Solution

The fourth proportional to 281,006.76, 421,676.10 and 103,637.64 is: 155,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,006.76 : 421,676.10 = 103,637.64 : x
  2. Step 2: Convert to fraction form
    281,006.76/421,676.10 = 103,637.64/x
  3. Step 3: Cross multiply
    281,006.76x = 421,676.10 × 103,637.64
  4. Step 4: Simplify right side
    281,006.76x = 43,701,515,848.40
  5. Step 5: Solve for x
    x = 43,701,515,848.40/281,006.76
  6. Step 6: Final answer
    x = 155,517.67

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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.