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Finding the Fourth Proportional to 145,884.54, 218,839.05 and 40,704.78

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Solution

The fourth proportional to 145,884.54, 218,839.05 and 40,704.78 is: 61,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,884.54 : 218,839.05 = 40,704.78 : x
  2. Step 2: Convert to fraction form
    145,884.54/218,839.05 = 40,704.78/x
  3. Step 3: Cross multiply
    145,884.54x = 218,839.05 × 40,704.78
  4. Step 4: Simplify right side
    145,884.54x = 8,907,795,385.66
  5. Step 5: Solve for x
    x = 8,907,795,385.66/145,884.54
  6. Step 6: Final answer
    x = 61,060.59

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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.