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Finding the Fourth Proportional to 140,945.76, 211,324.32 and 74,315.52

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Solution

The fourth proportional to 140,945.76, 211,324.32 and 74,315.52 is: 111,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,945.76 : 211,324.32 = 74,315.52 : x
  2. Step 2: Convert to fraction form
    140,945.76/211,324.32 = 74,315.52/x
  3. Step 3: Cross multiply
    140,945.76x = 211,324.32 × 74,315.52
  4. Step 4: Simplify right side
    140,945.76x = 15,704,676,729.45
  5. Step 5: Solve for x
    x = 15,704,676,729.45/140,945.76
  6. Step 6: Final answer
    x = 111,423.55

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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.