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Finding the Fourth Proportional to 130,846, 196,272.24 and 47,740

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Solution

The fourth proportional to 130,846, 196,272.24 and 47,740 is: 71,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,846 : 196,272.24 = 47,740 : x
  2. Step 2: Convert to fraction form
    130,846/196,272.24 = 47,740/x
  3. Step 3: Cross multiply
    130,846x = 196,272.24 × 47,740
  4. Step 4: Simplify right side
    130,846x = 9,370,036,737.60
  5. Step 5: Solve for x
    x = 9,370,036,737.60/130,846
  6. Step 6: Final answer
    x = 71,611.18

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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.