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Finding the Fourth Proportional to 137,446.61, 189,676.35 and 83,731.61

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Solution

The fourth proportional to 137,446.61, 189,676.35 and 83,731.61 is: 115,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.61 : 189,676.35 = 83,731.61 : x
  2. Step 2: Convert to fraction form
    137,446.61/189,676.35 = 83,731.61/x
  3. Step 3: Cross multiply
    137,446.61x = 189,676.35 × 83,731.61
  4. Step 4: Simplify right side
    137,446.61x = 15,881,906,164.42
  5. Step 5: Solve for x
    x = 15,881,906,164.42/137,446.61
  6. Step 6: Final answer
    x = 115,549.64

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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.