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Finding the Fourth Proportional to 43,519, 65,177.26 and 42,321.78

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Solution

The fourth proportional to 43,519, 65,177.26 and 42,321.78 is: 63,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,519 : 65,177.26 = 42,321.78 : x
  2. Step 2: Convert to fraction form
    43,519/65,177.26 = 42,321.78/x
  3. Step 3: Cross multiply
    43,519x = 65,177.26 × 42,321.78
  4. Step 4: Simplify right side
    43,519x = 2,758,417,658.72
  5. Step 5: Solve for x
    x = 2,758,417,658.72/43,519
  6. Step 6: Final answer
    x = 63,384.22

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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.