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Finding the Fourth Proportional to 205,210.86, 307,683.03 and 85,234.92

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Solution

The fourth proportional to 205,210.86, 307,683.03 and 85,234.92 is: 127,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,210.86 : 307,683.03 = 85,234.92 : x
  2. Step 2: Convert to fraction form
    205,210.86/307,683.03 = 85,234.92/x
  3. Step 3: Cross multiply
    205,210.86x = 307,683.03 × 85,234.92
  4. Step 4: Simplify right side
    205,210.86x = 26,225,338,447.41
  5. Step 5: Solve for x
    x = 26,225,338,447.41/205,210.86
  6. Step 6: Final answer
    x = 127,797.03

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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.