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Finding the Fourth Proportional to 120,487.12, 180,729.29 and 49,393.87

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Solution

The fourth proportional to 120,487.12, 180,729.29 and 49,393.87 is: 74,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,487.12 : 180,729.29 = 49,393.87 : x
  2. Step 2: Convert to fraction form
    120,487.12/180,729.29 = 49,393.87/x
  3. Step 3: Cross multiply
    120,487.12x = 180,729.29 × 49,393.87
  4. Step 4: Simplify right side
    120,487.12x = 8,926,918,727.11
  5. Step 5: Solve for x
    x = 8,926,918,727.11/120,487.12
  6. Step 6: Final answer
    x = 74,090.23

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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.