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Finding the Fourth Proportional to 81,649.12, 122,363.52 and 61,865.68

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Solution

The fourth proportional to 81,649.12, 122,363.52 and 61,865.68 is: 92,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.12 : 122,363.52 = 61,865.68 : x
  2. Step 2: Convert to fraction form
    81,649.12/122,363.52 = 61,865.68/x
  3. Step 3: Cross multiply
    81,649.12x = 122,363.52 × 61,865.68
  4. Step 4: Simplify right side
    81,649.12x = 7,570,102,371.99
  5. Step 5: Solve for x
    x = 7,570,102,371.99/81,649.12
  6. Step 6: Final answer
    x = 92,715.05

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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.