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Finding the Fourth Proportional to 66,046.86, 99,086.49 and 30,945.51

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Solution

The fourth proportional to 66,046.86, 99,086.49 and 30,945.51 is: 46,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,046.86 : 99,086.49 = 30,945.51 : x
  2. Step 2: Convert to fraction form
    66,046.86/99,086.49 = 30,945.51/x
  3. Step 3: Cross multiply
    66,046.86x = 99,086.49 × 30,945.51
  4. Step 4: Simplify right side
    66,046.86x = 3,066,281,967.16
  5. Step 5: Solve for x
    x = 3,066,281,967.16/66,046.86
  6. Step 6: Final answer
    x = 46,425.86

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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.