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Finding the Fourth Proportional to 137,961, 207,130.68 and 71,447.04

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Solution

The fourth proportional to 137,961, 207,130.68 and 71,447.04 is: 107,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,961 : 207,130.68 = 71,447.04 : x
  2. Step 2: Convert to fraction form
    137,961/207,130.68 = 71,447.04/x
  3. Step 3: Cross multiply
    137,961x = 207,130.68 × 71,447.04
  4. Step 4: Simplify right side
    137,961x = 14,798,873,979.19
  5. Step 5: Solve for x
    x = 14,798,873,979.19/137,961
  6. Step 6: Final answer
    x = 107,268.53

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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.