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Finding the Fourth Proportional to 52,107.08, 78,159.94 and 12,664.08

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Solution

The fourth proportional to 52,107.08, 78,159.94 and 12,664.08 is: 18,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.08 : 78,159.94 = 12,664.08 : x
  2. Step 2: Convert to fraction form
    52,107.08/78,159.94 = 12,664.08/x
  3. Step 3: Cross multiply
    52,107.08x = 78,159.94 × 12,664.08
  4. Step 4: Simplify right side
    52,107.08x = 989,823,732.96
  5. Step 5: Solve for x
    x = 989,823,732.96/52,107.08
  6. Step 6: Final answer
    x = 18,995.95

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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.