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Finding the Fourth Proportional to 69,306.48, 103,944.02 and 31,830.52

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Solution

The fourth proportional to 69,306.48, 103,944.02 and 31,830.52 is: 47,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306.48 : 103,944.02 = 31,830.52 : x
  2. Step 2: Convert to fraction form
    69,306.48/103,944.02 = 31,830.52/x
  3. Step 3: Cross multiply
    69,306.48x = 103,944.02 × 31,830.52
  4. Step 4: Simplify right side
    69,306.48x = 3,308,592,207.49
  5. Step 5: Solve for x
    x = 3,308,592,207.49/69,306.48
  6. Step 6: Final answer
    x = 47,738.57

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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.