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Finding the Fourth Proportional to 66,505.49, 99,702.09 and 30,948.42

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Solution

The fourth proportional to 66,505.49, 99,702.09 and 30,948.42 is: 46,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,505.49 : 99,702.09 = 30,948.42 : x
  2. Step 2: Convert to fraction form
    66,505.49/99,702.09 = 30,948.42/x
  3. Step 3: Cross multiply
    66,505.49x = 99,702.09 × 30,948.42
  4. Step 4: Simplify right side
    66,505.49x = 3,085,622,156.20
  5. Step 5: Solve for x
    x = 3,085,622,156.20/66,505.49
  6. Step 6: Final answer
    x = 46,396.51

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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.