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Finding the Fourth Proportional to 80,487, 120,737.16 and 25,083

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Solution

The fourth proportional to 80,487, 120,737.16 and 25,083 is: 37,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,487 : 120,737.16 = 25,083 : x
  2. Step 2: Convert to fraction form
    80,487/120,737.16 = 25,083/x
  3. Step 3: Cross multiply
    80,487x = 120,737.16 × 25,083
  4. Step 4: Simplify right side
    80,487x = 3,028,450,184.28
  5. Step 5: Solve for x
    x = 3,028,450,184.28/80,487
  6. Step 6: Final answer
    x = 37,626.58

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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.