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Finding the Fourth Proportional to 145,494.67, 218,251.23 and 45,658.80

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Solution

The fourth proportional to 145,494.67, 218,251.23 and 45,658.80 is: 68,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,494.67 : 218,251.23 = 45,658.80 : x
  2. Step 2: Convert to fraction form
    145,494.67/218,251.23 = 45,658.80/x
  3. Step 3: Cross multiply
    145,494.67x = 218,251.23 × 45,658.80
  4. Step 4: Simplify right side
    145,494.67x = 9,965,089,260.32
  5. Step 5: Solve for x
    x = 9,965,089,260.32/145,494.67
  6. Step 6: Final answer
    x = 68,491.09

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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.