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Finding the Fourth Proportional to 83,057.60, 124,629.60 and 36,315.20

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Solution

The fourth proportional to 83,057.60, 124,629.60 and 36,315.20 is: 54,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057.60 : 124,629.60 = 36,315.20 : x
  2. Step 2: Convert to fraction form
    83,057.60/124,629.60 = 36,315.20/x
  3. Step 3: Cross multiply
    83,057.60x = 124,629.60 × 36,315.20
  4. Step 4: Simplify right side
    83,057.60x = 4,525,948,849.92
  5. Step 5: Solve for x
    x = 4,525,948,849.92/83,057.60
  6. Step 6: Final answer
    x = 54,491.69

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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.