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Finding the Fourth Proportional to 71,150.96, 106,741.68 and 21,234.98

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Solution

The fourth proportional to 71,150.96, 106,741.68 and 21,234.98 is: 31,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,150.96 : 106,741.68 = 21,234.98 : x
  2. Step 2: Convert to fraction form
    71,150.96/106,741.68 = 21,234.98/x
  3. Step 3: Cross multiply
    71,150.96x = 106,741.68 × 21,234.98
  4. Step 4: Simplify right side
    71,150.96x = 2,266,657,439.97
  5. Step 5: Solve for x
    x = 2,266,657,439.97/71,150.96
  6. Step 6: Final answer
    x = 31,857.02

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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.