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Finding the Fourth Proportional to 70,809.50, 106,228.29 and 20,890.46

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Solution

The fourth proportional to 70,809.50, 106,228.29 and 20,890.46 is: 31,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809.50 : 106,228.29 = 20,890.46 : x
  2. Step 2: Convert to fraction form
    70,809.50/106,228.29 = 20,890.46/x
  3. Step 3: Cross multiply
    70,809.50x = 106,228.29 × 20,890.46
  4. Step 4: Simplify right side
    70,809.50x = 2,219,157,843.11
  5. Step 5: Solve for x
    x = 2,219,157,843.11/70,809.50
  6. Step 6: Final answer
    x = 31,339.83

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1.5x scale

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.