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Finding the Fourth Proportional to 120,856.92, 181,223.13 and 54,239.94

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Solution

The fourth proportional to 120,856.92, 181,223.13 and 54,239.94 is: 81,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,856.92 : 181,223.13 = 54,239.94 : x
  2. Step 2: Convert to fraction form
    120,856.92/181,223.13 = 54,239.94/x
  3. Step 3: Cross multiply
    120,856.92x = 181,223.13 × 54,239.94
  4. Step 4: Simplify right side
    120,856.92x = 9,829,531,697.81
  5. Step 5: Solve for x
    x = 9,829,531,697.81/120,856.92
  6. Step 6: Final answer
    x = 81,331.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.