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Finding the Fourth Proportional to 138,455.63, 207,720.36 and 49,709.90

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Solution

The fourth proportional to 138,455.63, 207,720.36 and 49,709.90 is: 74,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,455.63 : 207,720.36 = 49,709.90 : x
  2. Step 2: Convert to fraction form
    138,455.63/207,720.36 = 49,709.90/x
  3. Step 3: Cross multiply
    138,455.63x = 207,720.36 × 49,709.90
  4. Step 4: Simplify right side
    138,455.63x = 10,325,759,029.28
  5. Step 5: Solve for x
    x = 10,325,759,029.28/138,455.63
  6. Step 6: Final answer
    x = 74,578.11

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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.