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Finding the Fourth Proportional to 119,289.92, 164,498.04 and 78,988.97

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Solution

The fourth proportional to 119,289.92, 164,498.04 and 78,988.97 is: 108,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289.92 : 164,498.04 = 78,988.97 : x
  2. Step 2: Convert to fraction form
    119,289.92/164,498.04 = 78,988.97/x
  3. Step 3: Cross multiply
    119,289.92x = 164,498.04 × 78,988.97
  4. Step 4: Simplify right side
    119,289.92x = 12,993,531,157.86
  5. Step 5: Solve for x
    x = 12,993,531,157.86/119,289.92
  6. Step 6: Final answer
    x = 108,923.97

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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.