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Finding the Fourth Proportional to 55,209.66, 82,812.80 and 15,766.86

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Solution

The fourth proportional to 55,209.66, 82,812.80 and 15,766.86 is: 23,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209.66 : 82,812.80 = 15,766.86 : x
  2. Step 2: Convert to fraction form
    55,209.66/82,812.80 = 15,766.86/x
  3. Step 3: Cross multiply
    55,209.66x = 82,812.80 × 15,766.86
  4. Step 4: Simplify right side
    55,209.66x = 1,305,697,823.81
  5. Step 5: Solve for x
    x = 1,305,697,823.81/55,209.66
  6. Step 6: Final answer
    x = 23,649.81

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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.