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Finding the Fourth Proportional to 70,498.50, 105,736.41 and 20,566.86

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Solution

The fourth proportional to 70,498.50, 105,736.41 and 20,566.86 is: 30,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.50 : 105,736.41 = 20,566.86 : x
  2. Step 2: Convert to fraction form
    70,498.50/105,736.41 = 20,566.86/x
  3. Step 3: Cross multiply
    70,498.50x = 105,736.41 × 20,566.86
  4. Step 4: Simplify right side
    70,498.50x = 2,174,665,941.37
  5. Step 5: Solve for x
    x = 2,174,665,941.37/70,498.50
  6. Step 6: Final answer
    x = 30,846.98

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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.