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Finding the Fourth Proportional to 131,884, 197,766.88 and 78,601.12

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Solution

The fourth proportional to 131,884, 197,766.88 and 78,601.12 is: 117,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,884 : 197,766.88 = 78,601.12 : x
  2. Step 2: Convert to fraction form
    131,884/197,766.88 = 78,601.12/x
  3. Step 3: Cross multiply
    131,884x = 197,766.88 × 78,601.12
  4. Step 4: Simplify right side
    131,884x = 15,544,698,266.91
  5. Step 5: Solve for x
    x = 15,544,698,266.91/131,884
  6. Step 6: Final answer
    x = 117,866.45

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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.