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Finding the Fourth Proportional to 145,830.54, 218,824.24 and 140,522.57

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Solution

The fourth proportional to 145,830.54, 218,824.24 and 140,522.57 is: 210,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830.54 : 218,824.24 = 140,522.57 : x
  2. Step 2: Convert to fraction form
    145,830.54/218,824.24 = 140,522.57/x
  3. Step 3: Cross multiply
    145,830.54x = 218,824.24 × 140,522.57
  4. Step 4: Simplify right side
    145,830.54x = 30,749,744,778.85
  5. Step 5: Solve for x
    x = 30,749,744,778.85/145,830.54
  6. Step 6: Final answer
    x = 210,859.43

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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.