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Finding the Fourth Proportional to 209,853.95, 314,874.08 and 109,990.40

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Solution

The fourth proportional to 209,853.95, 314,874.08 and 109,990.40 is: 165,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,853.95 : 314,874.08 = 109,990.40 : x
  2. Step 2: Convert to fraction form
    209,853.95/314,874.08 = 109,990.40/x
  3. Step 3: Cross multiply
    209,853.95x = 314,874.08 × 109,990.40
  4. Step 4: Simplify right side
    209,853.95x = 34,633,125,458.88
  5. Step 5: Solve for x
    x = 34,633,125,458.88/209,853.95
  6. Step 6: Final answer
    x = 165,034.42

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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.