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Finding the Fourth Proportional to 55,321.90, 82,988.31 and 15,884.82

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Solution

The fourth proportional to 55,321.90, 82,988.31 and 15,884.82 is: 23,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,321.90 : 82,988.31 = 15,884.82 : x
  2. Step 2: Convert to fraction form
    55,321.90/82,988.31 = 15,884.82/x
  3. Step 3: Cross multiply
    55,321.90x = 82,988.31 × 15,884.82
  4. Step 4: Simplify right side
    55,321.90x = 1,318,254,366.45
  5. Step 5: Solve for x
    x = 1,318,254,366.45/55,321.90
  6. Step 6: Final answer
    x = 23,828.80

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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.