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Finding the Fourth Proportional to 68,296.97, 102,420.86 and 28,857.16

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Solution

The fourth proportional to 68,296.97, 102,420.86 and 28,857.16 is: 43,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,296.97 : 102,420.86 = 28,857.16 : x
  2. Step 2: Convert to fraction form
    68,296.97/102,420.86 = 28,857.16/x
  3. Step 3: Cross multiply
    68,296.97x = 102,420.86 × 28,857.16
  4. Step 4: Simplify right side
    68,296.97x = 2,955,575,128.10
  5. Step 5: Solve for x
    x = 2,955,575,128.10/68,296.97
  6. Step 6: Final answer
    x = 43,275.35

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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.