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Finding the Fourth Proportional to 55,874.60, 83,816.96 and 18,434.78

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Solution

The fourth proportional to 55,874.60, 83,816.96 and 18,434.78 is: 27,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874.60 : 83,816.96 = 18,434.78 : x
  2. Step 2: Convert to fraction form
    55,874.60/83,816.96 = 18,434.78/x
  3. Step 3: Cross multiply
    55,874.60x = 83,816.96 × 18,434.78
  4. Step 4: Simplify right side
    55,874.60x = 1,545,147,054.41
  5. Step 5: Solve for x
    x = 1,545,147,054.41/55,874.60
  6. Step 6: Final answer
    x = 27,653.84

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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.