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Finding the Fourth Proportional to 123,630.40, 185,421.30 and 40,524.40

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Solution

The fourth proportional to 123,630.40, 185,421.30 and 40,524.40 is: 60,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,630.40 : 185,421.30 = 40,524.40 : x
  2. Step 2: Convert to fraction form
    123,630.40/185,421.30 = 40,524.40/x
  3. Step 3: Cross multiply
    123,630.40x = 185,421.30 × 40,524.40
  4. Step 4: Simplify right side
    123,630.40x = 7,514,086,929.72
  5. Step 5: Solve for x
    x = 7,514,086,929.72/123,630.40
  6. Step 6: Final answer
    x = 60,778.63

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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.