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Finding the Fourth Proportional to 120,806.68, 181,281.24 and 45,989.76

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Solution

The fourth proportional to 120,806.68, 181,281.24 and 45,989.76 is: 69,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,806.68 : 181,281.24 = 45,989.76 : x
  2. Step 2: Convert to fraction form
    120,806.68/181,281.24 = 45,989.76/x
  3. Step 3: Cross multiply
    120,806.68x = 181,281.24 × 45,989.76
  4. Step 4: Simplify right side
    120,806.68x = 8,337,080,720.10
  5. Step 5: Solve for x
    x = 8,337,080,720.10/120,806.68
  6. Step 6: Final answer
    x = 69,011.75

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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.