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Finding the Fourth Proportional to 119,284, 164,594.13 and 68,288.68

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Solution

The fourth proportional to 119,284, 164,594.13 and 68,288.68 is: 94,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,284 : 164,594.13 = 68,288.68 : x
  2. Step 2: Convert to fraction form
    119,284/164,594.13 = 68,288.68/x
  3. Step 3: Cross multiply
    119,284x = 164,594.13 × 68,288.68
  4. Step 4: Simplify right side
    119,284x = 11,239,915,873.45
  5. Step 5: Solve for x
    x = 11,239,915,873.45/119,284
  6. Step 6: Final answer
    x = 94,228.19

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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.