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Finding the Fourth Proportional to 209,878.20, 314,894.10 and 85,231.80

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Solution

The fourth proportional to 209,878.20, 314,894.10 and 85,231.80 is: 127,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,878.20 : 314,894.10 = 85,231.80 : x
  2. Step 2: Convert to fraction form
    209,878.20/314,894.10 = 85,231.80/x
  3. Step 3: Cross multiply
    209,878.20x = 314,894.10 × 85,231.80
  4. Step 4: Simplify right side
    209,878.20x = 26,838,990,952.38
  5. Step 5: Solve for x
    x = 26,838,990,952.38/209,878.20
  6. Step 6: Final answer
    x = 127,878.89

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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.