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Finding the Fourth Proportional to 68,127.28, 102,830.78 and 68,127.28

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Solution

The fourth proportional to 68,127.28, 102,830.78 and 68,127.28 is: 102,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,127.28 : 102,830.78 = 68,127.28 : x
  2. Step 2: Convert to fraction form
    68,127.28/102,830.78 = 68,127.28/x
  3. Step 3: Cross multiply
    68,127.28x = 102,830.78 × 68,127.28
  4. Step 4: Simplify right side
    68,127.28x = 7,005,581,341.68
  5. Step 5: Solve for x
    x = 7,005,581,341.68/68,127.28
  6. Step 6: Final answer
    x = 102,830.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.