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Finding the Fourth Proportional to 71,730.94, 107,589.48 and 21,811.46

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Solution

The fourth proportional to 71,730.94, 107,589.48 and 21,811.46 is: 32,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,730.94 : 107,589.48 = 21,811.46 : x
  2. Step 2: Convert to fraction form
    71,730.94/107,589.48 = 21,811.46/x
  3. Step 3: Cross multiply
    71,730.94x = 107,589.48 × 21,811.46
  4. Step 4: Simplify right side
    71,730.94x = 2,346,683,908.41
  5. Step 5: Solve for x
    x = 2,346,683,908.41/71,730.94
  6. Step 6: Final answer
    x = 32,715.09

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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.