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Finding the Fourth Proportional to 55,148.75, 82,750.46 and 21,868.10

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Solution

The fourth proportional to 55,148.75, 82,750.46 and 21,868.10 is: 32,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,148.75 : 82,750.46 = 21,868.10 : x
  2. Step 2: Convert to fraction form
    55,148.75/82,750.46 = 21,868.10/x
  3. Step 3: Cross multiply
    55,148.75x = 82,750.46 × 21,868.10
  4. Step 4: Simplify right side
    55,148.75x = 1,809,594,811.23
  5. Step 5: Solve for x
    x = 1,809,594,811.23/55,148.75
  6. Step 6: Final answer
    x = 32,812.98

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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.