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Finding the Fourth Proportional to 268,987.08, 403,541.10 and 82,017.48

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Solution

The fourth proportional to 268,987.08, 403,541.10 and 82,017.48 is: 123,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,987.08 : 403,541.10 = 82,017.48 : x
  2. Step 2: Convert to fraction form
    268,987.08/403,541.10 = 82,017.48/x
  3. Step 3: Cross multiply
    268,987.08x = 403,541.10 × 82,017.48
  4. Step 4: Simplify right side
    268,987.08x = 33,097,424,098.43
  5. Step 5: Solve for x
    x = 33,097,424,098.43/268,987.08
  6. Step 6: Final answer
    x = 123,044.66

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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.