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Finding the Fourth Proportional to 131,178, 196,800.21 and 37,683.75

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Solution

The fourth proportional to 131,178, 196,800.21 and 37,683.75 is: 56,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,178 : 196,800.21 = 37,683.75 : x
  2. Step 2: Convert to fraction form
    131,178/196,800.21 = 37,683.75/x
  3. Step 3: Cross multiply
    131,178x = 196,800.21 × 37,683.75
  4. Step 4: Simplify right side
    131,178x = 7,416,169,913.59
  5. Step 5: Solve for x
    x = 7,416,169,913.59/131,178
  6. Step 6: Final answer
    x = 56,535.17

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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.