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Finding the Fourth Proportional to 140,609.70, 194,041.35 and 76,947.48

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Solution

The fourth proportional to 140,609.70, 194,041.35 and 76,947.48 is: 106,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,609.70 : 194,041.35 = 76,947.48 : x
  2. Step 2: Convert to fraction form
    140,609.70/194,041.35 = 76,947.48/x
  3. Step 3: Cross multiply
    140,609.70x = 194,041.35 × 76,947.48
  4. Step 4: Simplify right side
    140,609.70x = 14,930,992,898.30
  5. Step 5: Solve for x
    x = 14,930,992,898.30/140,609.70
  6. Step 6: Final answer
    x = 106,187.50

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1.5x scale

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.