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Finding the Fourth Proportional to 140,648.39, 194,087.30 and 76,973.88

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Solution

The fourth proportional to 140,648.39, 194,087.30 and 76,973.88 is: 106,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648.39 : 194,087.30 = 76,973.88 : x
  2. Step 2: Convert to fraction form
    140,648.39/194,087.30 = 76,973.88/x
  3. Step 3: Cross multiply
    140,648.39x = 194,087.30 × 76,973.88
  4. Step 4: Simplify right side
    140,648.39x = 14,939,652,154.85
  5. Step 5: Solve for x
    x = 14,939,652,154.85/140,648.39
  6. Step 6: Final answer
    x = 106,219.86

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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.