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Finding the Fourth Proportional to 109,712.28, 164,569.14 and 30,828

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Solution

The fourth proportional to 109,712.28, 164,569.14 and 30,828 is: 46,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712.28 : 164,569.14 = 30,828 : x
  2. Step 2: Convert to fraction form
    109,712.28/164,569.14 = 30,828/x
  3. Step 3: Cross multiply
    109,712.28x = 164,569.14 × 30,828
  4. Step 4: Simplify right side
    109,712.28x = 5,073,337,447.92
  5. Step 5: Solve for x
    x = 5,073,337,447.92/109,712.28
  6. Step 6: Final answer
    x = 46,242.20

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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.