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Finding the Fourth Proportional to 209,649.60, 314,512.80 and 85,003.20

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Solution

The fourth proportional to 209,649.60, 314,512.80 and 85,003.20 is: 127,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,649.60 : 314,512.80 = 85,003.20 : x
  2. Step 2: Convert to fraction form
    209,649.60/314,512.80 = 85,003.20/x
  3. Step 3: Cross multiply
    209,649.60x = 314,512.80 × 85,003.20
  4. Step 4: Simplify right side
    209,649.60x = 26,734,594,440.96
  5. Step 5: Solve for x
    x = 26,734,594,440.96/209,649.60
  6. Step 6: Final answer
    x = 127,520.37

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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.