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Finding the Fourth Proportional to 66,182.70, 99,131.48 and 31,069.74

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Solution

The fourth proportional to 66,182.70, 99,131.48 and 31,069.74 is: 46,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,182.70 : 99,131.48 = 31,069.74 : x
  2. Step 2: Convert to fraction form
    66,182.70/99,131.48 = 31,069.74/x
  3. Step 3: Cross multiply
    66,182.70x = 99,131.48 × 31,069.74
  4. Step 4: Simplify right side
    66,182.70x = 3,079,989,309.42
  5. Step 5: Solve for x
    x = 3,079,989,309.42/66,182.70
  6. Step 6: Final answer
    x = 46,537.68

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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.