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Finding the Fourth Proportional to 139,963.85, 209,801.09 and 65,022.85

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Solution

The fourth proportional to 139,963.85, 209,801.09 and 65,022.85 is: 97,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,963.85 : 209,801.09 = 65,022.85 : x
  2. Step 2: Convert to fraction form
    139,963.85/209,801.09 = 65,022.85/x
  3. Step 3: Cross multiply
    139,963.85x = 209,801.09 × 65,022.85
  4. Step 4: Simplify right side
    139,963.85x = 13,641,864,863.96
  5. Step 5: Solve for x
    x = 13,641,864,863.96/139,963.85
  6. Step 6: Final answer
    x = 97,467.06

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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.