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Finding the Fourth Proportional to 209,650.20, 314,345.70 and 120,859.80

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Solution

The fourth proportional to 209,650.20, 314,345.70 and 120,859.80 is: 181,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,650.20 : 314,345.70 = 120,859.80 : x
  2. Step 2: Convert to fraction form
    209,650.20/314,345.70 = 120,859.80/x
  3. Step 3: Cross multiply
    209,650.20x = 314,345.70 × 120,859.80
  4. Step 4: Simplify right side
    209,650.20x = 37,991,758,432.86
  5. Step 5: Solve for x
    x = 37,991,758,432.86/209,650.20
  6. Step 6: Final answer
    x = 181,214.99

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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.