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Finding the Fourth Proportional to 52,869.36, 79,278.92 and 30,689.54

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Solution

The fourth proportional to 52,869.36, 79,278.92 and 30,689.54 is: 46,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869.36 : 79,278.92 = 30,689.54 : x
  2. Step 2: Convert to fraction form
    52,869.36/79,278.92 = 30,689.54/x
  3. Step 3: Cross multiply
    52,869.36x = 79,278.92 × 30,689.54
  4. Step 4: Simplify right side
    52,869.36x = 2,433,033,586.50
  5. Step 5: Solve for x
    x = 2,433,033,586.50/52,869.36
  6. Step 6: Final answer
    x = 46,019.73

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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.