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Finding the Fourth Proportional to 68,024.50, 102,042.54 and 18,776.50

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Solution

The fourth proportional to 68,024.50, 102,042.54 and 18,776.50 is: 28,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024.50 : 102,042.54 = 18,776.50 : x
  2. Step 2: Convert to fraction form
    68,024.50/102,042.54 = 18,776.50/x
  3. Step 3: Cross multiply
    68,024.50x = 102,042.54 × 18,776.50
  4. Step 4: Simplify right side
    68,024.50x = 1,916,001,752.31
  5. Step 5: Solve for x
    x = 1,916,001,752.31/68,024.50
  6. Step 6: Final answer
    x = 28,166.35

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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.