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Finding the Fourth Proportional to 137,288, 189,460.60 and 76,857.12

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Solution

The fourth proportional to 137,288, 189,460.60 and 76,857.12 is: 106,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,288 : 189,460.60 = 76,857.12 : x
  2. Step 2: Convert to fraction form
    137,288/189,460.60 = 76,857.12/x
  3. Step 3: Cross multiply
    137,288x = 189,460.60 × 76,857.12
  4. Step 4: Simplify right side
    137,288x = 14,561,396,069.47
  5. Step 5: Solve for x
    x = 14,561,396,069.47/137,288
  6. Step 6: Final answer
    x = 106,064.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.