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Finding the Fourth Proportional to 209,968.57, 315,083.47 and 85,309.57

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Solution

The fourth proportional to 209,968.57, 315,083.47 and 85,309.57 is: 128,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968.57 : 315,083.47 = 85,309.57 : x
  2. Step 2: Convert to fraction form
    209,968.57/315,083.47 = 85,309.57/x
  3. Step 3: Cross multiply
    209,968.57x = 315,083.47 × 85,309.57
  4. Step 4: Simplify right side
    209,968.57x = 26,879,635,680.34
  5. Step 5: Solve for x
    x = 26,879,635,680.34/209,968.57
  6. Step 6: Final answer
    x = 128,017.42

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1.5x scale

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.