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Finding the Fourth Proportional to 43,065, 64,597.50 and 11,900.25

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Solution

The fourth proportional to 43,065, 64,597.50 and 11,900.25 is: 17,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,065 : 64,597.50 = 11,900.25 : x
  2. Step 2: Convert to fraction form
    43,065/64,597.50 = 11,900.25/x
  3. Step 3: Cross multiply
    43,065x = 64,597.50 × 11,900.25
  4. Step 4: Simplify right side
    43,065x = 768,726,399.38
  5. Step 5: Solve for x
    x = 768,726,399.38/43,065
  6. Step 6: Final answer
    x = 17,850.38

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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.