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Finding the Fourth Proportional to 56,446.60, 84,617.10 and 21,409.80

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Solution

The fourth proportional to 56,446.60, 84,617.10 and 21,409.80 is: 32,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446.60 : 84,617.10 = 21,409.80 : x
  2. Step 2: Convert to fraction form
    56,446.60/84,617.10 = 21,409.80/x
  3. Step 3: Cross multiply
    56,446.60x = 84,617.10 × 21,409.80
  4. Step 4: Simplify right side
    56,446.60x = 1,811,635,187.58
  5. Step 5: Solve for x
    x = 1,811,635,187.58/56,446.60
  6. Step 6: Final answer
    x = 32,094.67

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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.