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Finding the Fourth Proportional to 52,652.34, 78,979.54 and 13,208.43

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Solution

The fourth proportional to 52,652.34, 78,979.54 and 13,208.43 is: 19,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,652.34 : 78,979.54 = 13,208.43 : x
  2. Step 2: Convert to fraction form
    52,652.34/78,979.54 = 13,208.43/x
  3. Step 3: Cross multiply
    52,652.34x = 78,979.54 × 13,208.43
  4. Step 4: Simplify right side
    52,652.34x = 1,043,195,725.52
  5. Step 5: Solve for x
    x = 1,043,195,725.52/52,652.34
  6. Step 6: Final answer
    x = 19,812.90

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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.