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Finding the Fourth Proportional to 66,501.85, 99,751.78 and 30,943.25

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Solution

The fourth proportional to 66,501.85, 99,751.78 and 30,943.25 is: 46,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,501.85 : 99,751.78 = 30,943.25 : x
  2. Step 2: Convert to fraction form
    66,501.85/99,751.78 = 30,943.25/x
  3. Step 3: Cross multiply
    66,501.85x = 99,751.78 × 30,943.25
  4. Step 4: Simplify right side
    66,501.85x = 3,086,644,189.13
  5. Step 5: Solve for x
    x = 3,086,644,189.13/66,501.85
  6. Step 6: Final answer
    x = 46,414.41

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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.