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Finding the Fourth Proportional to 131,780, 197,647.74 and 36,988.44

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Solution

The fourth proportional to 131,780, 197,647.74 and 36,988.44 is: 55,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,780 : 197,647.74 = 36,988.44 : x
  2. Step 2: Convert to fraction form
    131,780/197,647.74 = 36,988.44/x
  3. Step 3: Cross multiply
    131,780x = 197,647.74 × 36,988.44
  4. Step 4: Simplify right side
    131,780x = 7,310,681,572.13
  5. Step 5: Solve for x
    x = 7,310,681,572.13/131,780
  6. Step 6: Final answer
    x = 55,476.41

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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.