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Finding the Fourth Proportional to 82,990.63, 124,455.42 and 29,668.20

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Solution

The fourth proportional to 82,990.63, 124,455.42 and 29,668.20 is: 44,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,990.63 : 124,455.42 = 29,668.20 : x
  2. Step 2: Convert to fraction form
    82,990.63/124,455.42 = 29,668.20/x
  3. Step 3: Cross multiply
    82,990.63x = 124,455.42 × 29,668.20
  4. Step 4: Simplify right side
    82,990.63x = 3,692,367,824.94
  5. Step 5: Solve for x
    x = 3,692,367,824.94/82,990.63
  6. Step 6: Final answer
    x = 44,491.38

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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.