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Finding the Fourth Proportional to 68,044, 102,077.52 and 21,287.68

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Solution

The fourth proportional to 68,044, 102,077.52 and 21,287.68 is: 31,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,044 : 102,077.52 = 21,287.68 : x
  2. Step 2: Convert to fraction form
    68,044/102,077.52 = 21,287.68/x
  3. Step 3: Cross multiply
    68,044x = 102,077.52 × 21,287.68
  4. Step 4: Simplify right side
    68,044x = 2,172,993,580.95
  5. Step 5: Solve for x
    x = 2,172,993,580.95/68,044
  6. Step 6: Final answer
    x = 31,935.12

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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.