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Finding the Fourth Proportional to 209,885.30, 314,921.01 and 110,021.66

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Solution

The fourth proportional to 209,885.30, 314,921.01 and 110,021.66 is: 165,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.30 : 314,921.01 = 110,021.66 : x
  2. Step 2: Convert to fraction form
    209,885.30/314,921.01 = 110,021.66/x
  3. Step 3: Cross multiply
    209,885.30x = 314,921.01 × 110,021.66
  4. Step 4: Simplify right side
    209,885.30x = 34,648,132,289.08
  5. Step 5: Solve for x
    x = 34,648,132,289.08/209,885.30
  6. Step 6: Final answer
    x = 165,081.27

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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.