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Finding the Fourth Proportional to 119,433.80, 164,804.82 and 81,763.40

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Solution

The fourth proportional to 119,433.80, 164,804.82 and 81,763.40 is: 112,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,433.80 : 164,804.82 = 81,763.40 : x
  2. Step 2: Convert to fraction form
    119,433.80/164,804.82 = 81,763.40/x
  3. Step 3: Cross multiply
    119,433.80x = 164,804.82 × 81,763.40
  4. Step 4: Simplify right side
    119,433.80x = 13,475,002,419.59
  5. Step 5: Solve for x
    x = 13,475,002,419.59/119,433.80
  6. Step 6: Final answer
    x = 112,824.03

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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.