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Finding the Fourth Proportional to 52,624, 78,936 and 13,712

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Solution

The fourth proportional to 52,624, 78,936 and 13,712 is: 20,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,624 : 78,936 = 13,712 : x
  2. Step 2: Convert to fraction form
    52,624/78,936 = 13,712/x
  3. Step 3: Cross multiply
    52,624x = 78,936 × 13,712
  4. Step 4: Simplify right side
    52,624x = 1,082,370,432
  5. Step 5: Solve for x
    x = 1,082,370,432/52,624
  6. Step 6: Final answer
    x = 20,568

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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.