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Finding the Fourth Proportional to 131,114.80, 196,679.52 and 37,618

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Solution

The fourth proportional to 131,114.80, 196,679.52 and 37,618 is: 56,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,114.80 : 196,679.52 = 37,618 : x
  2. Step 2: Convert to fraction form
    131,114.80/196,679.52 = 37,618/x
  3. Step 3: Cross multiply
    131,114.80x = 196,679.52 × 37,618
  4. Step 4: Simplify right side
    131,114.80x = 7,398,690,183.36
  5. Step 5: Solve for x
    x = 7,398,690,183.36/131,114.80
  6. Step 6: Final answer
    x = 56,429.10

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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.