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Finding the Fourth Proportional to 68,677.84, 102,878.24 and 57,553.32

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Solution

The fourth proportional to 68,677.84, 102,878.24 and 57,553.32 is: 86,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,677.84 : 102,878.24 = 57,553.32 : x
  2. Step 2: Convert to fraction form
    68,677.84/102,878.24 = 57,553.32/x
  3. Step 3: Cross multiply
    68,677.84x = 102,878.24 × 57,553.32
  4. Step 4: Simplify right side
    68,677.84x = 5,920,984,267.76
  5. Step 5: Solve for x
    x = 5,920,984,267.76/68,677.84
  6. Step 6: Final answer
    x = 86,213.90

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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.