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Finding the Fourth Proportional to 51,298.92, 76,982.74 and 18,019.10

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Solution

The fourth proportional to 51,298.92, 76,982.74 and 18,019.10 is: 27,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,298.92 : 76,982.74 = 18,019.10 : x
  2. Step 2: Convert to fraction form
    51,298.92/76,982.74 = 18,019.10/x
  3. Step 3: Cross multiply
    51,298.92x = 76,982.74 × 18,019.10
  4. Step 4: Simplify right side
    51,298.92x = 1,387,159,690.33
  5. Step 5: Solve for x
    x = 1,387,159,690.33/51,298.92
  6. Step 6: Final answer
    x = 27,040.72

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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.