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Finding the Fourth Proportional to 131,803.80, 197,211.78 and 78,299.88

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Solution

The fourth proportional to 131,803.80, 197,211.78 and 78,299.88 is: 117,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,803.80 : 197,211.78 = 78,299.88 : x
  2. Step 2: Convert to fraction form
    131,803.80/197,211.78 = 78,299.88/x
  3. Step 3: Cross multiply
    131,803.80x = 197,211.78 × 78,299.88
  4. Step 4: Simplify right side
    131,803.80x = 15,441,658,708.59
  5. Step 5: Solve for x
    x = 15,441,658,708.59/131,803.80
  6. Step 6: Final answer
    x = 117,156.40

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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.