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Finding the Fourth Proportional to 209,967.12, 315,081.90 and 85,308.12

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Solution

The fourth proportional to 209,967.12, 315,081.90 and 85,308.12 is: 128,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.12 : 315,081.90 = 85,308.12 : x
  2. Step 2: Convert to fraction form
    209,967.12/315,081.90 = 85,308.12/x
  3. Step 3: Cross multiply
    209,967.12x = 315,081.90 × 85,308.12
  4. Step 4: Simplify right side
    209,967.12x = 26,879,044,535.03
  5. Step 5: Solve for x
    x = 26,879,044,535.03/209,967.12
  6. Step 6: Final answer
    x = 128,015.49

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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.