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Finding the Fourth Proportional to 278,636.49, 417,889.26 and 89,113.77

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Solution

The fourth proportional to 278,636.49, 417,889.26 and 89,113.77 is: 133,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,636.49 : 417,889.26 = 89,113.77 : x
  2. Step 2: Convert to fraction form
    278,636.49/417,889.26 = 89,113.77/x
  3. Step 3: Cross multiply
    278,636.49x = 417,889.26 × 89,113.77
  4. Step 4: Simplify right side
    278,636.49x = 37,239,687,401.11
  5. Step 5: Solve for x
    x = 37,239,687,401.11/278,636.49
  6. Step 6: Final answer
    x = 133,649.71

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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.