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Finding the Fourth Proportional to 209,976.60, 315,095.50 and 85,317.60

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Solution

The fourth proportional to 209,976.60, 315,095.50 and 85,317.60 is: 128,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,976.60 : 315,095.50 = 85,317.60 : x
  2. Step 2: Convert to fraction form
    209,976.60/315,095.50 = 85,317.60/x
  3. Step 3: Cross multiply
    209,976.60x = 315,095.50 × 85,317.60
  4. Step 4: Simplify right side
    209,976.60x = 26,883,191,830.80
  5. Step 5: Solve for x
    x = 26,883,191,830.80/209,976.60
  6. Step 6: Final answer
    x = 128,029.47

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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.