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Finding the Fourth Proportional to 81,509.44, 122,264.16 and 53,800.96

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Solution

The fourth proportional to 81,509.44, 122,264.16 and 53,800.96 is: 80,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.44 : 122,264.16 = 53,800.96 : x
  2. Step 2: Convert to fraction form
    81,509.44/122,264.16 = 53,800.96/x
  3. Step 3: Cross multiply
    81,509.44x = 122,264.16 × 53,800.96
  4. Step 4: Simplify right side
    81,509.44x = 6,577,929,181.59
  5. Step 5: Solve for x
    x = 6,577,929,181.59/81,509.44
  6. Step 6: Final answer
    x = 80,701.44

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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.