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Finding the Fourth Proportional to 82,851.80, 124,310.10 and 30,266.60

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Solution

The fourth proportional to 82,851.80, 124,310.10 and 30,266.60 is: 45,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.80 : 124,310.10 = 30,266.60 : x
  2. Step 2: Convert to fraction form
    82,851.80/124,310.10 = 30,266.60/x
  3. Step 3: Cross multiply
    82,851.80x = 124,310.10 × 30,266.60
  4. Step 4: Simplify right side
    82,851.80x = 3,762,444,072.66
  5. Step 5: Solve for x
    x = 3,762,444,072.66/82,851.80
  6. Step 6: Final answer
    x = 45,411.74

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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.