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Finding the Fourth Proportional to 272,676.96, 408,461.76 and 137,657.76

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Solution

The fourth proportional to 272,676.96, 408,461.76 and 137,657.76 is: 206,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,676.96 : 408,461.76 = 137,657.76 : x
  2. Step 2: Convert to fraction form
    272,676.96/408,461.76 = 137,657.76/x
  3. Step 3: Cross multiply
    272,676.96x = 408,461.76 × 137,657.76
  4. Step 4: Simplify right side
    272,676.96x = 56,227,930,927.26
  5. Step 5: Solve for x
    x = 56,227,930,927.26/272,676.96
  6. Step 6: Final answer
    x = 206,207.12

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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.