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Finding the Fourth Proportional to 55,435.87, 83,115.85 and 19,896.40

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Solution

The fourth proportional to 55,435.87, 83,115.85 and 19,896.40 is: 29,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,435.87 : 83,115.85 = 19,896.40 : x
  2. Step 2: Convert to fraction form
    55,435.87/83,115.85 = 19,896.40/x
  3. Step 3: Cross multiply
    55,435.87x = 83,115.85 × 19,896.40
  4. Step 4: Simplify right side
    55,435.87x = 1,653,706,197.94
  5. Step 5: Solve for x
    x = 1,653,706,197.94/55,435.87
  6. Step 6: Final answer
    x = 29,830.98

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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.