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Finding the Fourth Proportional to 137,459.94, 189,694.41 and 83,744.91

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Solution

The fourth proportional to 137,459.94, 189,694.41 and 83,744.91 is: 115,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,459.94 : 189,694.41 = 83,744.91 : x
  2. Step 2: Convert to fraction form
    137,459.94/189,694.41 = 83,744.91/x
  3. Step 3: Cross multiply
    137,459.94x = 189,694.41 × 83,744.91
  4. Step 4: Simplify right side
    137,459.94x = 15,885,941,292.95
  5. Step 5: Solve for x
    x = 15,885,941,292.95/137,459.94
  6. Step 6: Final answer
    x = 115,567.79

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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.