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Finding the Fourth Proportional to 137,462.73, 189,662.47 and 83,771.88

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Solution

The fourth proportional to 137,462.73, 189,662.47 and 83,771.88 is: 115,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,462.73 : 189,662.47 = 83,771.88 : x
  2. Step 2: Convert to fraction form
    137,462.73/189,662.47 = 83,771.88/x
  3. Step 3: Cross multiply
    137,462.73x = 189,662.47 × 83,771.88
  4. Step 4: Simplify right side
    137,462.73x = 15,888,381,677.34
  5. Step 5: Solve for x
    x = 15,888,381,677.34/137,462.73
  6. Step 6: Final answer
    x = 115,583.20

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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.