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Finding the Fourth Proportional to 68,457.84, 102,678.97 and 18,541.83

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Solution

The fourth proportional to 68,457.84, 102,678.97 and 18,541.83 is: 27,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,457.84 : 102,678.97 = 18,541.83 : x
  2. Step 2: Convert to fraction form
    68,457.84/102,678.97 = 18,541.83/x
  3. Step 3: Cross multiply
    68,457.84x = 102,678.97 × 18,541.83
  4. Step 4: Simplify right side
    68,457.84x = 1,903,855,913.61
  5. Step 5: Solve for x
    x = 1,903,855,913.61/68,457.84
  6. Step 6: Final answer
    x = 27,810.63

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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.