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Finding the Fourth Proportional to 109,965.30, 164,947.95 and 83,721.30

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Solution

The fourth proportional to 109,965.30, 164,947.95 and 83,721.30 is: 125,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,965.30 : 164,947.95 = 83,721.30 : x
  2. Step 2: Convert to fraction form
    109,965.30/164,947.95 = 83,721.30/x
  3. Step 3: Cross multiply
    109,965.30x = 164,947.95 × 83,721.30
  4. Step 4: Simplify right side
    109,965.30x = 13,809,656,806.34
  5. Step 5: Solve for x
    x = 13,809,656,806.34/109,965.30
  6. Step 6: Final answer
    x = 125,581.95

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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.