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Finding the Fourth Proportional to 109,888.65, 164,863.89 and 31,003.56

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Solution

The fourth proportional to 109,888.65, 164,863.89 and 31,003.56 is: 46,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,888.65 : 164,863.89 = 31,003.56 : x
  2. Step 2: Convert to fraction form
    109,888.65/164,863.89 = 31,003.56/x
  3. Step 3: Cross multiply
    109,888.65x = 164,863.89 × 31,003.56
  4. Step 4: Simplify right side
    109,888.65x = 5,111,367,505.45
  5. Step 5: Solve for x
    x = 5,111,367,505.45/109,888.65
  6. Step 6: Final answer
    x = 46,514.06

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1.5x scale

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.