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Finding the Fourth Proportional to 209,885.55, 314,921.39 and 110,021.91

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Solution

The fourth proportional to 209,885.55, 314,921.39 and 110,021.91 is: 165,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.55 : 314,921.39 = 110,021.91 : x
  2. Step 2: Convert to fraction form
    209,885.55/314,921.39 = 110,021.91/x
  3. Step 3: Cross multiply
    209,885.55x = 314,921.39 × 110,021.91
  4. Step 4: Simplify right side
    209,885.55x = 34,648,252,277.55
  5. Step 5: Solve for x
    x = 34,648,252,277.55/209,885.55
  6. Step 6: Final answer
    x = 165,081.65

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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.