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Finding the Fourth Proportional to 120,519.90, 166,264.25 and 84,733.29

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Solution

The fourth proportional to 120,519.90, 166,264.25 and 84,733.29 is: 116,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,519.90 : 166,264.25 = 84,733.29 : x
  2. Step 2: Convert to fraction form
    120,519.90/166,264.25 = 84,733.29/x
  3. Step 3: Cross multiply
    120,519.90x = 166,264.25 × 84,733.29
  4. Step 4: Simplify right side
    120,519.90x = 14,088,116,488.22
  5. Step 5: Solve for x
    x = 14,088,116,488.22/120,519.90
  6. Step 6: Final answer
    x = 116,894.53

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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.