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Finding the Fourth Proportional to 81,985.57, 122,700.57 and 50,415.61

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Solution

The fourth proportional to 81,985.57, 122,700.57 and 50,415.61 is: 75,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,985.57 : 122,700.57 = 50,415.61 : x
  2. Step 2: Convert to fraction form
    81,985.57/122,700.57 = 50,415.61/x
  3. Step 3: Cross multiply
    81,985.57x = 122,700.57 × 50,415.61
  4. Step 4: Simplify right side
    81,985.57x = 6,186,024,083.90
  5. Step 5: Solve for x
    x = 6,186,024,083.90/81,985.57
  6. Step 6: Final answer
    x = 75,452.60

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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.