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Finding the Fourth Proportional to 119,409.38, 164,766.16 and 68,412.28

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Solution

The fourth proportional to 119,409.38, 164,766.16 and 68,412.28 is: 94,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.38 : 164,766.16 = 68,412.28 : x
  2. Step 2: Convert to fraction form
    119,409.38/164,766.16 = 68,412.28/x
  3. Step 3: Cross multiply
    119,409.38x = 164,766.16 × 68,412.28
  4. Step 4: Simplify right side
    119,409.38x = 11,272,028,672.44
  5. Step 5: Solve for x
    x = 11,272,028,672.44/119,409.38
  6. Step 6: Final answer
    x = 94,398.18

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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.