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Finding the Fourth Proportional to 213,800.86, 320,649.45 and 89,073.82

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Solution

The fourth proportional to 213,800.86, 320,649.45 and 89,073.82 is: 133,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,800.86 : 320,649.45 = 89,073.82 : x
  2. Step 2: Convert to fraction form
    213,800.86/320,649.45 = 89,073.82/x
  3. Step 3: Cross multiply
    213,800.86x = 320,649.45 × 89,073.82
  4. Step 4: Simplify right side
    213,800.86x = 28,561,471,392.40
  5. Step 5: Solve for x
    x = 28,561,471,392.40/213,800.86
  6. Step 6: Final answer
    x = 133,589.13

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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.