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Finding the Fourth Proportional to 209,986.47, 315,110.31 and 85,327.47

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Solution

The fourth proportional to 209,986.47, 315,110.31 and 85,327.47 is: 128,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,986.47 : 315,110.31 = 85,327.47 : x
  2. Step 2: Convert to fraction form
    209,986.47/315,110.31 = 85,327.47/x
  3. Step 3: Cross multiply
    209,986.47x = 315,110.31 × 85,327.47
  4. Step 4: Simplify right side
    209,986.47x = 26,887,565,523.22
  5. Step 5: Solve for x
    x = 26,887,565,523.22/209,986.47
  6. Step 6: Final answer
    x = 128,044.28

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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.