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Finding the Fourth Proportional to 52,318, 78,477 and 13,406

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Solution

The fourth proportional to 52,318, 78,477 and 13,406 is: 20,109

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,318 : 78,477 = 13,406 : x
  2. Step 2: Convert to fraction form
    52,318/78,477 = 13,406/x
  3. Step 3: Cross multiply
    52,318x = 78,477 × 13,406
  4. Step 4: Simplify right side
    52,318x = 1,052,062,662
  5. Step 5: Solve for x
    x = 1,052,062,662/52,318
  6. Step 6: Final answer
    x = 20,109

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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.