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Finding the Fourth Proportional to 137,413, 189,629.96 and 77,797

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Solution

The fourth proportional to 137,413, 189,629.96 and 77,797 is: 107,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413 : 189,629.96 = 77,797 : x
  2. Step 2: Convert to fraction form
    137,413/189,629.96 = 77,797/x
  3. Step 3: Cross multiply
    137,413x = 189,629.96 × 77,797
  4. Step 4: Simplify right side
    137,413x = 14,752,641,998.12
  5. Step 5: Solve for x
    x = 14,752,641,998.12/137,413
  6. Step 6: Final answer
    x = 107,359.87

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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.