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Finding the Fourth Proportional to 68,146.92, 102,062.43 and 65,783.14

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Solution

The fourth proportional to 68,146.92, 102,062.43 and 65,783.14 is: 98,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,146.92 : 102,062.43 = 65,783.14 : x
  2. Step 2: Convert to fraction form
    68,146.92/102,062.43 = 65,783.14/x
  3. Step 3: Cross multiply
    68,146.92x = 102,062.43 × 65,783.14
  4. Step 4: Simplify right side
    68,146.92x = 6,713,986,866.27
  5. Step 5: Solve for x
    x = 6,713,986,866.27/68,146.92
  6. Step 6: Final answer
    x = 98,522.23

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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.