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Finding the Fourth Proportional to 121,697.79, 182,459.17 and 55,103.64

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Solution

The fourth proportional to 121,697.79, 182,459.17 and 55,103.64 is: 82,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,697.79 : 182,459.17 = 55,103.64 : x
  2. Step 2: Convert to fraction form
    121,697.79/182,459.17 = 55,103.64/x
  3. Step 3: Cross multiply
    121,697.79x = 182,459.17 × 55,103.64
  4. Step 4: Simplify right side
    121,697.79x = 10,054,164,418.38
  5. Step 5: Solve for x
    x = 10,054,164,418.38/121,697.79
  6. Step 6: Final answer
    x = 82,615.83

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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.