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Finding the Fourth Proportional to 52,632, 78,948 and 13,720

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Solution

The fourth proportional to 52,632, 78,948 and 13,720 is: 20,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,632 : 78,948 = 13,720 : x
  2. Step 2: Convert to fraction form
    52,632/78,948 = 13,720/x
  3. Step 3: Cross multiply
    52,632x = 78,948 × 13,720
  4. Step 4: Simplify right side
    52,632x = 1,083,166,560
  5. Step 5: Solve for x
    x = 1,083,166,560/52,632
  6. Step 6: Final answer
    x = 20,580

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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.