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Finding the Fourth Proportional to 137,344.73, 189,513.81 and 76,917.92

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Solution

The fourth proportional to 137,344.73, 189,513.81 and 76,917.92 is: 106,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,344.73 : 189,513.81 = 76,917.92 : x
  2. Step 2: Convert to fraction form
    137,344.73/189,513.81 = 76,917.92/x
  3. Step 3: Cross multiply
    137,344.73x = 189,513.81 × 76,917.92
  4. Step 4: Simplify right side
    137,344.73x = 14,577,007,128.91
  5. Step 5: Solve for x
    x = 14,577,007,128.91/137,344.73
  6. Step 6: Final answer
    x = 106,134.45

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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.