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Finding the Fourth Proportional to 145,205.88, 217,775.97 and 55,216.41

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Solution

The fourth proportional to 145,205.88, 217,775.97 and 55,216.41 is: 82,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,205.88 : 217,775.97 = 55,216.41 : x
  2. Step 2: Convert to fraction form
    145,205.88/217,775.97 = 55,216.41/x
  3. Step 3: Cross multiply
    145,205.88x = 217,775.97 × 55,216.41
  4. Step 4: Simplify right side
    145,205.88x = 12,024,807,247.67
  5. Step 5: Solve for x
    x = 12,024,807,247.67/145,205.88
  6. Step 6: Final answer
    x = 82,812.12

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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.