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Finding the Fourth Proportional to 140,630.70, 194,071.50 and 76,969.02

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Solution

The fourth proportional to 140,630.70, 194,071.50 and 76,969.02 is: 106,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,630.70 : 194,071.50 = 76,969.02 : x
  2. Step 2: Convert to fraction form
    140,630.70/194,071.50 = 76,969.02/x
  3. Step 3: Cross multiply
    140,630.70x = 194,071.50 × 76,969.02
  4. Step 4: Simplify right side
    140,630.70x = 14,937,493,164.93
  5. Step 5: Solve for x
    x = 14,937,493,164.93/140,630.70
  6. Step 6: Final answer
    x = 106,217.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.