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Finding the Fourth Proportional to 137,295.91, 189,459.20 and 76,856.34

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Solution

The fourth proportional to 137,295.91, 189,459.20 and 76,856.34 is: 106,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,295.91 : 189,459.20 = 76,856.34 : x
  2. Step 2: Convert to fraction form
    137,295.91/189,459.20 = 76,856.34/x
  3. Step 3: Cross multiply
    137,295.91x = 189,459.20 × 76,856.34
  4. Step 4: Simplify right side
    137,295.91x = 14,561,141,593.94
  5. Step 5: Solve for x
    x = 14,561,141,593.94/137,295.91
  6. Step 6: Final answer
    x = 106,056.63

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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.