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Finding the Fourth Proportional to 55,903.82, 83,861.40 and 18,464

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Solution

The fourth proportional to 55,903.82, 83,861.40 and 18,464 is: 27,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,903.82 : 83,861.40 = 18,464 : x
  2. Step 2: Convert to fraction form
    55,903.82/83,861.40 = 18,464/x
  3. Step 3: Cross multiply
    55,903.82x = 83,861.40 × 18,464
  4. Step 4: Simplify right side
    55,903.82x = 1,548,416,889.60
  5. Step 5: Solve for x
    x = 1,548,416,889.60/55,903.82
  6. Step 6: Final answer
    x = 27,697.87

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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.