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Finding the Fourth Proportional to 82,811.20, 124,232.80 and 35,425.60

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Solution

The fourth proportional to 82,811.20, 124,232.80 and 35,425.60 is: 53,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.20 : 124,232.80 = 35,425.60 : x
  2. Step 2: Convert to fraction form
    82,811.20/124,232.80 = 35,425.60/x
  3. Step 3: Cross multiply
    82,811.20x = 124,232.80 × 35,425.60
  4. Step 4: Simplify right side
    82,811.20x = 4,401,021,479.68
  5. Step 5: Solve for x
    x = 4,401,021,479.68/82,811.20
  6. Step 6: Final answer
    x = 53,145.24

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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.