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Finding the Fourth Proportional to 52,071.84, 78,107.07 and 12,629.28

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Solution

The fourth proportional to 52,071.84, 78,107.07 and 12,629.28 is: 18,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.84 : 78,107.07 = 12,629.28 : x
  2. Step 2: Convert to fraction form
    52,071.84/78,107.07 = 12,629.28/x
  3. Step 3: Cross multiply
    52,071.84x = 78,107.07 × 12,629.28
  4. Step 4: Simplify right side
    52,071.84x = 986,436,057.01
  5. Step 5: Solve for x
    x = 986,436,057.01/52,071.84
  6. Step 6: Final answer
    x = 18,943.75

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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.