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Finding the Fourth Proportional to 131,778, 197,644.75 and 36,986.43

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Solution

The fourth proportional to 131,778, 197,644.75 and 36,986.43 is: 55,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,778 : 197,644.75 = 36,986.43 : x
  2. Step 2: Convert to fraction form
    131,778/197,644.75 = 36,986.43/x
  3. Step 3: Cross multiply
    131,778x = 197,644.75 × 36,986.43
  4. Step 4: Simplify right side
    131,778x = 7,310,173,710.74
  5. Step 5: Solve for x
    x = 7,310,173,710.74/131,778
  6. Step 6: Final answer
    x = 55,473.40

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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.