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Finding the Fourth Proportional to 50,706.56, 76,008.72 and 21,140.72

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Solution

The fourth proportional to 50,706.56, 76,008.72 and 21,140.72 is: 31,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,706.56 : 76,008.72 = 21,140.72 : x
  2. Step 2: Convert to fraction form
    50,706.56/76,008.72 = 21,140.72/x
  3. Step 3: Cross multiply
    50,706.56x = 76,008.72 × 21,140.72
  4. Step 4: Simplify right side
    50,706.56x = 1,606,879,067.08
  5. Step 5: Solve for x
    x = 1,606,879,067.08/50,706.56
  6. Step 6: Final answer
    x = 31,689.77

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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.