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Finding the Fourth Proportional to 282,044.61, 423,059.94 and 68,814

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Solution

The fourth proportional to 282,044.61, 423,059.94 and 68,814 is: 103,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,044.61 : 423,059.94 = 68,814 : x
  2. Step 2: Convert to fraction form
    282,044.61/423,059.94 = 68,814/x
  3. Step 3: Cross multiply
    282,044.61x = 423,059.94 × 68,814
  4. Step 4: Simplify right side
    282,044.61x = 29,112,446,711.16
  5. Step 5: Solve for x
    x = 29,112,446,711.16/282,044.61
  6. Step 6: Final answer
    x = 103,219.30

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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.