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Finding the Fourth Proportional to 68,669.76, 102,828.60 and 57,549

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Solution

The fourth proportional to 68,669.76, 102,828.60 and 57,549 is: 86,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,669.76 : 102,828.60 = 57,549 : x
  2. Step 2: Convert to fraction form
    68,669.76/102,828.60 = 57,549/x
  3. Step 3: Cross multiply
    68,669.76x = 102,828.60 × 57,549
  4. Step 4: Simplify right side
    68,669.76x = 5,917,683,101.40
  5. Step 5: Solve for x
    x = 5,917,683,101.40/68,669.76
  6. Step 6: Final answer
    x = 86,175.97

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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.