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Finding the Fourth Proportional to 52,316, 78,474 and 13,404

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Solution

The fourth proportional to 52,316, 78,474 and 13,404 is: 20,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,316 : 78,474 = 13,404 : x
  2. Step 2: Convert to fraction form
    52,316/78,474 = 13,404/x
  3. Step 3: Cross multiply
    52,316x = 78,474 × 13,404
  4. Step 4: Simplify right side
    52,316x = 1,051,865,496
  5. Step 5: Solve for x
    x = 1,051,865,496/52,316
  6. Step 6: Final answer
    x = 20,106

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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.