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Finding the Fourth Proportional to 137,558.76, 189,864.80 and 83,873.32

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Solution

The fourth proportional to 137,558.76, 189,864.80 and 83,873.32 is: 115,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,558.76 : 189,864.80 = 83,873.32 : x
  2. Step 2: Convert to fraction form
    137,558.76/189,864.80 = 83,873.32/x
  3. Step 3: Cross multiply
    137,558.76x = 189,864.80 × 83,873.32
  4. Step 4: Simplify right side
    137,558.76x = 15,924,591,127.14
  5. Step 5: Solve for x
    x = 15,924,591,127.14/137,558.76
  6. Step 6: Final answer
    x = 115,765.74

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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.