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Finding the Fourth Proportional to 123,946.10, 185,630.81 and 120,536.81

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Solution

The fourth proportional to 123,946.10, 185,630.81 and 120,536.81 is: 180,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,946.10 : 185,630.81 = 120,536.81 : x
  2. Step 2: Convert to fraction form
    123,946.10/185,630.81 = 120,536.81/x
  3. Step 3: Cross multiply
    123,946.10x = 185,630.81 × 120,536.81
  4. Step 4: Simplify right side
    123,946.10x = 22,375,344,144.28
  5. Step 5: Solve for x
    x = 22,375,344,144.28/123,946.10
  6. Step 6: Final answer
    x = 180,524.80

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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.