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Finding the Fourth Proportional to 119,406.28, 164,782.04 and 68,418

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Solution

The fourth proportional to 119,406.28, 164,782.04 and 68,418 is: 94,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,406.28 : 164,782.04 = 68,418 : x
  2. Step 2: Convert to fraction form
    119,406.28/164,782.04 = 68,418/x
  3. Step 3: Cross multiply
    119,406.28x = 164,782.04 × 68,418
  4. Step 4: Simplify right side
    119,406.28x = 11,274,057,612.72
  5. Step 5: Solve for x
    x = 11,274,057,612.72/119,406.28
  6. Step 6: Final answer
    x = 94,417.63

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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.