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Finding the Fourth Proportional to 70,460.85, 105,698.10 and 20,539.83

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Solution

The fourth proportional to 70,460.85, 105,698.10 and 20,539.83 is: 30,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,460.85 : 105,698.10 = 20,539.83 : x
  2. Step 2: Convert to fraction form
    70,460.85/105,698.10 = 20,539.83/x
  3. Step 3: Cross multiply
    70,460.85x = 105,698.10 × 20,539.83
  4. Step 4: Simplify right side
    70,460.85x = 2,171,021,005.32
  5. Step 5: Solve for x
    x = 2,171,021,005.32/70,460.85
  6. Step 6: Final answer
    x = 30,811.73

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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.