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Finding the Fourth Proportional to 209,872.91, 314,902.11 and 110,009.22

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Solution

The fourth proportional to 209,872.91, 314,902.11 and 110,009.22 is: 165,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.91 : 314,902.11 = 110,009.22 : x
  2. Step 2: Convert to fraction form
    209,872.91/314,902.11 = 110,009.22/x
  3. Step 3: Cross multiply
    209,872.91x = 314,902.11 × 110,009.22
  4. Step 4: Simplify right side
    209,872.91x = 34,642,135,497.45
  5. Step 5: Solve for x
    x = 34,642,135,497.45/209,872.91
  6. Step 6: Final answer
    x = 165,062.45

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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.