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Finding the Fourth Proportional to 52,371.97, 78,558.12 and 12,929.09

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Solution

The fourth proportional to 52,371.97, 78,558.12 and 12,929.09 is: 19,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,371.97 : 78,558.12 = 12,929.09 : x
  2. Step 2: Convert to fraction form
    52,371.97/78,558.12 = 12,929.09/x
  3. Step 3: Cross multiply
    52,371.97x = 78,558.12 × 12,929.09
  4. Step 4: Simplify right side
    52,371.97x = 1,015,684,905.51
  5. Step 5: Solve for x
    x = 1,015,684,905.51/52,371.97
  6. Step 6: Final answer
    x = 19,393.67

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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.