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Finding the Fourth Proportional to 55,487.64, 83,214.18 and 18,543

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Solution

The fourth proportional to 55,487.64, 83,214.18 and 18,543 is: 27,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,487.64 : 83,214.18 = 18,543 : x
  2. Step 2: Convert to fraction form
    55,487.64/83,214.18 = 18,543/x
  3. Step 3: Cross multiply
    55,487.64x = 83,214.18 × 18,543
  4. Step 4: Simplify right side
    55,487.64x = 1,543,040,539.74
  5. Step 5: Solve for x
    x = 1,543,040,539.74/55,487.64
  6. Step 6: Final answer
    x = 27,808.73

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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.