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Finding the Fourth Proportional to 131,737.98, 197,607.46 and 31,898

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Solution

The fourth proportional to 131,737.98, 197,607.46 and 31,898 is: 47,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,737.98 : 197,607.46 = 31,898 : x
  2. Step 2: Convert to fraction form
    131,737.98/197,607.46 = 31,898/x
  3. Step 3: Cross multiply
    131,737.98x = 197,607.46 × 31,898
  4. Step 4: Simplify right side
    131,737.98x = 6,303,282,759.08
  5. Step 5: Solve for x
    x = 6,303,282,759.08/131,737.98
  6. Step 6: Final answer
    x = 47,847.12

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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.