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Finding the Fourth Proportional to 131,152, 196,676.16 and 64,543.36

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Solution

The fourth proportional to 131,152, 196,676.16 and 64,543.36 is: 96,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,152 : 196,676.16 = 64,543.36 : x
  2. Step 2: Convert to fraction form
    131,152/196,676.16 = 64,543.36/x
  3. Step 3: Cross multiply
    131,152x = 196,676.16 × 64,543.36
  4. Step 4: Simplify right side
    131,152x = 12,694,140,198.30
  5. Step 5: Solve for x
    x = 12,694,140,198.30/131,152
  6. Step 6: Final answer
    x = 96,789.53

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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.