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Finding the Fourth Proportional to 55,285.40, 82,911.90 and 19,742.60

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Solution

The fourth proportional to 55,285.40, 82,911.90 and 19,742.60 is: 29,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,285.40 : 82,911.90 = 19,742.60 : x
  2. Step 2: Convert to fraction form
    55,285.40/82,911.90 = 19,742.60/x
  3. Step 3: Cross multiply
    55,285.40x = 82,911.90 × 19,742.60
  4. Step 4: Simplify right side
    55,285.40x = 1,636,896,476.94
  5. Step 5: Solve for x
    x = 1,636,896,476.94/55,285.40
  6. Step 6: Final answer
    x = 29,608.11

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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.