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Finding the Fourth Proportional to 81,998.83, 122,916.03 and 28,649.40

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Solution

The fourth proportional to 81,998.83, 122,916.03 and 28,649.40 is: 42,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,998.83 : 122,916.03 = 28,649.40 : x
  2. Step 2: Convert to fraction form
    81,998.83/122,916.03 = 28,649.40/x
  3. Step 3: Cross multiply
    81,998.83x = 122,916.03 × 28,649.40
  4. Step 4: Simplify right side
    81,998.83x = 3,521,470,509.88
  5. Step 5: Solve for x
    x = 3,521,470,509.88/81,998.83
  6. Step 6: Final answer
    x = 42,945.38

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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.