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Finding the Fourth Proportional to 131,846.63, 197,690.20 and 51,788.76

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Solution

The fourth proportional to 131,846.63, 197,690.20 and 51,788.76 is: 77,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,846.63 : 197,690.20 = 51,788.76 : x
  2. Step 2: Convert to fraction form
    131,846.63/197,690.20 = 51,788.76/x
  3. Step 3: Cross multiply
    131,846.63x = 197,690.20 × 51,788.76
  4. Step 4: Simplify right side
    131,846.63x = 10,238,129,333.70
  5. Step 5: Solve for x
    x = 10,238,129,333.70/131,846.63
  6. Step 6: Final answer
    x = 77,651.81

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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.