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Finding the Fourth Proportional to 68,526, 102,804.12 and 29,116.80

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Solution

The fourth proportional to 68,526, 102,804.12 and 29,116.80 is: 43,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,526 : 102,804.12 = 29,116.80 : x
  2. Step 2: Convert to fraction form
    68,526/102,804.12 = 29,116.80/x
  3. Step 3: Cross multiply
    68,526x = 102,804.12 × 29,116.80
  4. Step 4: Simplify right side
    68,526x = 2,993,327,001.22
  5. Step 5: Solve for x
    x = 2,993,327,001.22/68,526
  6. Step 6: Final answer
    x = 43,681.62

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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.