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Finding the Fourth Proportional to 70,842.46, 106,238.88 and 20,909.34

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Solution

The fourth proportional to 70,842.46, 106,238.88 and 20,909.34 is: 31,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.46 : 106,238.88 = 20,909.34 : x
  2. Step 2: Convert to fraction form
    70,842.46/106,238.88 = 20,909.34/x
  3. Step 3: Cross multiply
    70,842.46x = 106,238.88 × 20,909.34
  4. Step 4: Simplify right side
    70,842.46x = 2,221,384,863.14
  5. Step 5: Solve for x
    x = 2,221,384,863.14/70,842.46
  6. Step 6: Final answer
    x = 31,356.69

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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.