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Finding the Fourth Proportional to 48,742, 73,113.40 and 11,806

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Solution

The fourth proportional to 48,742, 73,113.40 and 11,806 is: 17,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,742 : 73,113.40 = 11,806 : x
  2. Step 2: Convert to fraction form
    48,742/73,113.40 = 11,806/x
  3. Step 3: Cross multiply
    48,742x = 73,113.40 × 11,806
  4. Step 4: Simplify right side
    48,742x = 863,176,800.40
  5. Step 5: Solve for x
    x = 863,176,800.40/48,742
  6. Step 6: Final answer
    x = 17,709.10

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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.