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Finding the Fourth Proportional to 146,731.80, 219,903.30 and 130,013.40

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Solution

The fourth proportional to 146,731.80, 219,903.30 and 130,013.40 is: 194,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,731.80 : 219,903.30 = 130,013.40 : x
  2. Step 2: Convert to fraction form
    146,731.80/219,903.30 = 130,013.40/x
  3. Step 3: Cross multiply
    146,731.80x = 219,903.30 × 130,013.40
  4. Step 4: Simplify right side
    146,731.80x = 28,590,375,704.22
  5. Step 5: Solve for x
    x = 28,590,375,704.22/146,731.80
  6. Step 6: Final answer
    x = 194,847.85

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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.