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Finding the Fourth Proportional to 52,081, 78,134.82 and 15,145

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Solution

The fourth proportional to 52,081, 78,134.82 and 15,145 is: 22,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,081 : 78,134.82 = 15,145 : x
  2. Step 2: Convert to fraction form
    52,081/78,134.82 = 15,145/x
  3. Step 3: Cross multiply
    52,081x = 78,134.82 × 15,145
  4. Step 4: Simplify right side
    52,081x = 1,183,351,848.90
  5. Step 5: Solve for x
    x = 1,183,351,848.90/52,081
  6. Step 6: Final answer
    x = 22,721.37

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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.