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Finding the Fourth Proportional to 68,386.56, 102,309.92 and 51,794.40

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Solution

The fourth proportional to 68,386.56, 102,309.92 and 51,794.40 is: 77,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,386.56 : 102,309.92 = 51,794.40 : x
  2. Step 2: Convert to fraction form
    68,386.56/102,309.92 = 51,794.40/x
  3. Step 3: Cross multiply
    68,386.56x = 102,309.92 × 51,794.40
  4. Step 4: Simplify right side
    68,386.56x = 5,299,080,920.45
  5. Step 5: Solve for x
    x = 5,299,080,920.45/68,386.56
  6. Step 6: Final answer
    x = 77,487.17

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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.